English

A bound for Hall's criterion for nilpotence in semi-abelian categories

Group Theory 2021-04-02 v1 Category Theory

Abstract

In this paper, we focus on Hall's criterion for nilpotence in semi-abelian categories, and we improve the bound of Gray's main theorem of [3,Theorem 3.4] (see Main Theorem). And this bound is best possible.

Keywords

Cite

@article{arxiv.1905.08434,
  title  = {A bound for Hall's criterion for nilpotence in semi-abelian categories},
  author = {Heguo Liu and Xingzhong Xu and Jiping Zhang},
  journal= {arXiv preprint arXiv:1905.08434},
  year   = {2021}
}

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