On hall subnormally embedded subgroups of finite groups

Adolfo Ballester-Bolinches; John Cossey; Shou Hong Qiao

doi:10.1007/s00605-015-0838-0

On hall subnormally embedded subgroups of finite groups

Adolfo Ballester-Bolinches, John Cossey, Shou Hong Qiao^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A subgroup H of a finite group G is said to be Hall subnormally (respectively normally) embedded in G if there is a subnormal (respectively normal) subgroup N of G such that H is a Hall subgroup of N. The aim of this paper is to characterise the groups G having a Hall subnormally embedded subgroup of order |B| for each subgroup B of G. Some earlier results are consequences of our main theorem.

Original language	English
Pages (from-to)	753-760
Number of pages	8
Journal	Monatshefte fur Mathematik
Volume	181
Issue number	4
DOIs	https://doi.org/10.1007/s00605-015-0838-0
Publication status	Published - 1 Dec 2016

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KW - Subnormal subgroup

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On hall subnormally embedded subgroups of finite groups

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