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Finite Soluble Group Generated by the Conjugacy Class of an Involution
Journal article   Peer reviewed

Finite Soluble Group Generated by the Conjugacy Class of an Involution

Abdullah Al-Roqi
Communications in algebra, Vol.37(6), pp.2040-2051
04/06/2009
DOI: https://doi.org/10.1080/00927870802304671

Abstract

Soluble groups
Let G be a finite group and P a subgroup of order 2. We study in this article the structures of the soluble subgroup of G that is generated by three conjugates of P. We use the results we proved about the soluble subgroups that are generated by three conjugates of P to find a soluble analogue of the Baer-Suzuki Theorem in the case prime 2.

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