BeeGass/Group-Theory-Collection
Group Theory Collection A benchmark of 11.28 million permutation-composition problems over 94 finite groups, split by computational complexity class (TC⁰ vs NC¹). Given a sequence of group elements, the task is to predict their composition. By Barrington's theorem, iterated composition in any fixed non-solvable group is NC¹-complete, while for solvable groups it lies in ACC⁰ ⊆ TC⁰. Architectures whose expressive power is bounded by TC⁰ — fixed-depth transformers and linear… See the full description on the dataset page: https://huggingface.co/datasets/BeeGass/Group-Theory-Collection.
| Author / organization | BeeGass |
|---|---|
| License (as declared) | mit |
| Downloads | 2.7K (as reported by Hugging Face) |
| Likes | 2 |
| Created | 7 July 2025 |
| Last updated at source | 9 August 2026 |
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