Maximal Frattini \(p\)-modules of minimal nonsolvable groups, having cyclic Sylow \(p\)-subgroups
type: Item
instance of: scholarly article
title: Maximal Frattini \(p\)-modules of minimal nonsolvable groups, having cyclic Sylow \(p\)-subgroups
zbMATH Open document ID: 0593.20004
DOI: 10.1007/BF02080334
author: S. D. Kozlov
published in: Algebra and Logic
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/187318
review text: Let \(H\) be a finite group with the Frattini subgroup \(\Phi(H)\) and let \(G=H/\Phi(H)\). Suppose \(\Phi(H)\) is an elementary abelian \(p\)-subgroup for a prime \(p\). The author describes the structure of \(\Phi(H)\) as a \(G\)-module for the cases \(G=\mathrm{PSL}(2,q)\) or \(\mathrm{Sz}(2^ m)\) and a Sylow \(p\)-subgroup of \(G\) is cyclic.
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20D25
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 3953038
zbMATH Keywords: Frattini subgroup
zbMATH Keywords: elementary abelian p-subgroup
zbMATH Keywords: G-module
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3953038