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517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 295,654,938,741,309,440 | M8732 | 02/05/2022 18:03:13 | How do you define isomorphic then? | 0 | 1 | 689,178,453,798,682,900 | Mohmoka | 6906 | Mohmoka | false | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:03:15 | Do you get the Q? | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:03:32 | The idea behind it | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:03:52 | A slight idea about it but I'm not too sure | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:04:09 | I usually find it helpful to use small examples | 0 | 1 | 589,206,850,839,380,000 | Moon Child | 9119 | Moon Child | false | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:04:13 | Say C_3 and C_5 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:04:30 | Then what does the direct product look like | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:04:45 | Just to get you thinking in the right direction of what the question is asking | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:05:10 | I think the hard bit is seeing what the group <a> x <b> looks like if you're unfamiliar with direct products | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:07:00 | @Moon Child Sorry that was a bit badly written by me 😂 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:07:12 | 👀 | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:07:34 | C_5 and C_3 as in the cyclic groups? | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:08:38 | yh well... | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:08:43 | Basically yes | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:08:47 | My example is | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:08:49 | m = 15 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:08:57 | a has order 3
b has order 5 | 0 | 1 | 589,206,850,839,380,000 | Moon Child | 9119 | Moon Child | false | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:09:03 | so <a> is the same as C_3 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:09:09 | <b> is the same as C_5 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:09:16 | if that makes sense? same structure/isomorphic | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:10:36 | I'm a bit confused about cyclic groups | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:10:44 | I have a slight idea but not well explained | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:11:21 | Alright let me see | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:11:29 | $\{e, a, a^2\}$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:11:32 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:11:35 | This is what C_3 looks like | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:11:38 | in general | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:11:43 | The structure will always be the same | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:12:02 | $C_n = \{e, a, a^2, \cdots, a^{n-1}\}$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:12:04 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:12:10 | You get this part? | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:12:19 | a is just any 'object', it doesn't really matter... | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:12:32 | The group operation tells you how to handle multiplication between elements (making it work like 'normal multiplication') | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:12:52 | Oh I see | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:13:00 | What's different is a group might not be abelian | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:13:09 | But all cyclic groups are abelian | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:13:14 | Since you've just got powers of the same element | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:13:41 | So <a> represents the cyclic group generated by a | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:13:56 | if a has order m (from the question) and b has order n | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:14:24 | $$\langle a\rangle=\{e, a, a^2, \cdots, a^{m-1}\}$$
$$\langle b\rangle=\{e, b, b^2, \cdots, b^{n-1}\}$$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:15:33 | If a has an order m, does it also mean a^m=e? | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:15:42 | right. | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:15:50 | You can see that must be the case in these 2 groups. | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:16:01 | Note the group operation is 'borrowed' from G | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:16:11 | If we're going by the question | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:16:22 | We have the same operation, but just different domain | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:16:47 | I see | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:17:34 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:17:37 | looks better | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:17:52 | Alright, so now you want to think what the direct product of those 2 look like | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:17:56 | You are familiar with the definition of direct product? | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:18:09 | Not really | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:18:22 | you can think of it as like cartesian product | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:18:24 | $\bR^2 = \{(a, b) : a, b \in\bR\}$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:18:53 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:18:57 | Similar idea, but for groups | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:19:10 | $$A\times B = \{(a, b):a\in A, b\in B\}$$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:19:12 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:19:53 | But in this case, we're doing this with order m and n? | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:20:07 | yh... but first of all you need to be familiar with how the group operation works | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:20:17 | it turns out exactly how you expect in some ways | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:20:39 | $(a, b)(c, d) = (ac, bd)$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:20:41 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:20:59 | Note there are 3 different group operations going on here (but all 3 are referred to as 'multiplication) | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:21:43 | $(a, b)\left(*_{A\cross B}\right)(c, d) = (a\left(*_{A}\right)c, b\left(*_{B}\right)d)$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:21:54 | hmm that's ugly 😂 | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:22:31 | If that makes sense? | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:23:02 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:24:00 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:24:10 | These are 3 different binary operations in general. | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:24:27 | I'm a bit confused, which are from which? | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:24:38 | I am using usual function notation to show | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:24:59 | Or I could use different symbols if that makes it clearer | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:25:50 | Yeah | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:26:06 | $*_1:A\to A$ \\
$*_2:B\to B$ \\
$*_3:A\times B\to A \times B$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:26:25 | Just treat them as any symbols | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:26:49 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:27:06 | $(a, b)*_3(c, d) = (a*_1c, b*_2d)$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:27:08 | **Shuri2060** | 321445119171756033.png | 0 | 1 | 510,789,298,321,096,700 | TeXit | 0796 | TeXit | true | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:27:29 | This is an important thing to note | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:27:48 | So $a *_1 c$ makes sense because a and c come from A | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:27:50 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:27:52 | And these are the operations of the three groups? | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:27:56 | 321445119171756033.png | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:27:57 | Yes | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:06 | Because of how we defined A x B | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:10 | a, c come from A | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:14 | b, d come from B | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:21 | And by closure, ac is in A | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:24 | bd is in B | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:28:32 | so (ac, bd) is still in A x B | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:30:53 | Ah yes | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:31:08 | I understand | 1 | 0 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:31:37 | So I'm going to use a small example | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:31:37 | $$C_2\times C_3 = \{(a, b):a\in C_2, b\in C_3\}$$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:32:08 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:32:28 | $$\{(e, e), (a, e), (e, b), (a, b), (e, b^2), (a, b^2)\}$$ | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 510,789,298,321,096,700 | TeXit | 02/05/2022 18:32:30 | **Shuri2060** | 321445119171756033.png | 0 | 1 | null | null | null | null | null | ||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 321,445,119,171,756,000 | Shuri2060 | 02/05/2022 18:32:36 | Can you see how this is the entire group? | 0 | 1 | null | null | null | null | null | |||||
517 | help-10 | ee650a1eb2184f5ca1221029aa080be4 | 589,206,850,839,380,000 | Moon Child | 02/05/2022 18:33:34 | How come there's no a^2? | 1 | 0 | null | null | null | null | null |
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