code stringlengths 3 6.57k |
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base_ring() |
degree(self) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
degree() |
_an_element_(self) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
an_element() |
doctest
((a, 1, 1) |
self.base_ring() |
R.primitive_element() |
R.one() |
self.degree() |
Permutation([self.degree() |
range(1, self.degree() |
R.is_prime_field() |
R.hom([R.gen() |
R.characteristic() |
R.Hom(R) |
identity() |
self(0, v, p, f) |
__contains__(self, item) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
self(item, check=True) |
gens(self) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
gens() |
self.base_ring() |
self(v=([R.primitive_element() |
R.one() |
self.degree() |
SymmetricGroup(self.degree() |
gens() |
l.append(self(perm=Permutation(g) |
R.is_field() |
R.is_prime_field() |
l.append(self(autom=R.hom([R.primitive_element() |
R.characteristic() |
order(self) |
GF(4) |
SemimonomialTransformationGroup(F, 5) |
order() |
factorial(5) |
self.degree() |
self.base_ring() |
R.is_field() |
len(R) |
R.degree() |
R.unit_group_order() |
len([x for x in End(R) |
x.is_injective() |
factorial(n) |
_get_action_(self, X, op, self_on_left) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
an_element() |
doctest
(0, 1, 0) |
MatrixSpace(F, 3) |
one() |
SemimonomialActionVec(self, X) |
SemimonomialActionMat(self, X) |
_repr_(self) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
return ('Semimonomial transformation group over %s' % self.base_ring() |
self.degree() |
_latex_(self) |
GF(4) |
latex(SemimonomialTransformationGroup(F, 3) |
left(\Bold{F}_{2^{2}}^3\wr\langle (1,2,3) |
self.base_ring() |
_latex_() |
return ('\\left(' + ring_latex + '^' + str(self.degree() |
SymmetricGroup(self.degree() |
_latex_() |
SemimonomialActionVec(Action) |
alpha(v_{\pi(1) |
alpha(v_{\pi(n) |
__init__(self, G, V, check=True) |
GF(4) |
SemimonomialTransformationGroup(F, 3) |
an_element() |
doctest
(0, 0, 1) |
isinstance(G, SemimonomialTransformationGroup) |
ValueError('%s is not a semimonomial group' % G) |
isinstance(V, FreeModule_generic) |
ValueError('%s is not a free module' % V) |
V.ambient_module() |
ValueError('%s is not equal to its ambient module' % V) |
V.dimension() |
G.degree() |
ValueError('%s has a dimension different to the degree of %s' % (V, G) |
V.base_ring() |
G.base_ring() |
ValueError('%s and %s have different base rings' % (V, G) |
Action.__init__(self, G, V.dense_module() |
_act_(self, a, b) |
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