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Permutation Groups Datasets

This repository contains permutation composition datasets for various symmetric and alternating groups.

Usage

You can load individual datasets or all datasets combined:

from datasets import load_dataset

# Load a specific dataset
s3_dataset = load_dataset("BeeGass/permutation-groups", name="s3_data", trust_remote_code=True)
s7_dataset = load_dataset("BeeGass/permutation-groups", name="s7_data", trust_remote_code=True)
a7_dataset = load_dataset("BeeGass/permutation-groups", name="a7_data", trust_remote_code=True)

# Load all datasets combined
all_datasets = load_dataset("BeeGass/permutation-groups", name="all", trust_remote_code=True)

Available Configurations

  • s3_data: Symmetric Group S3
  • s4_data: Symmetric Group S4
  • s5_data: Symmetric Group S5
  • s6_data: Symmetric Group S6
  • s7_data: Symmetric Group S7
  • a5_data: Alternating Group A5
  • a6_data: Alternating Group A6
  • a7_data: Alternating Group A7
  • all: All datasets combined

Dataset Structure

Each dataset contains:

  • input_sequence: Space-separated sequence of permutation IDs
  • target: The ID of the composed permutation

License

MIT