关于交错群由素数阶与素数幂阶元素不变生成的问题
群论
2023-02-20 v2 数论
摘要
我们验证了每个次数不超过一千万亿的交错群都由一枚素数阶元素与一枚素数幂阶元素不变生成。
引用
@article{arxiv.2201.12371,
title = {On invariable generation of alternating groups by elements of prime and prime power order},
author = {Robert M. Guralnick and John Shareshian and Russ Woodroofe},
journal= {arXiv preprint arXiv:2201.12371},
year = {2023}
}
备注
14 pages. Code available on github, see https://github.com/RussWoodroofe/invgen. Partial output in ancillary files, remainder available via Zenodo on upon request. v2 has minor changes for publication