English

On the T$^\circ$-slices of a finite group

Group Theory 2021-09-28 v1

Abstract

A slice (G, S) of finite groups is a pair consisting of a finite group G and a subgroup S of G. In this paper, we show that some properties of finite groups extend to slices of finite groups. In particular, by analogy with B-groups, we introduce the notion of T^\circ-slice, and show that any slice of finite groups admits a largest quotient T^\circ-slice.

Keywords

Cite

@article{arxiv.2109.12587,
  title  = {On the T$^\circ$-slices of a finite group},
  author = {Ibrahima Tounkara},
  journal= {arXiv preprint arXiv:2109.12587},
  year   = {2021}
}