中文

关于子群交换度及相关概念的思考

群论 2018-12-14 v4 表示论

摘要

有限群GG的子群交换度的概念近年来在群论的多个领域引起了兴趣,因为它衡量了随机选取的一对子群(H,K)(H,K)满足条件HK=KHHK=KH的概率。本文研究了一个更强的概念,并找到了与交换度的关系。

关键词

引用

@article{arxiv.1102.0509,
  title  = {Considerations on the subgroup commutativity degree and related notions},
  author = {Francesco G. Russo},
  journal= {arXiv preprint arXiv:1102.0509},
  year   = {2018}
}

备注

13 pages; this is a complete new version, entirely rewritten: inaccuracies were found and there was the desire to cover more substantially the large literature which is growing in this field in the last years