The influence of minimal p-subgroups on the structure of finite groups
type: Item
instance of: scholarly article
title: The influence of minimal p-subgroups on the structure of finite groups
zbMATH Open document ID: 0553.20007
DOI: 10.1007/BF01193999
author: J. B. Derr
author: W. E. Deskins
author: N. P. Mukherjee
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: If the center of a finite group G contains the minimal p-subgroups of G (i.e., the elements of order 1, p and 4 when \(p=2)\) then, by a classical result of N. Ito, \(G/O_{p'}(G)\) is a p-group. In this paper it is shown that if K is a normal subgroup of G such that (i) G/K is in a saturated formation F and (ii) the minimal p-subgroups of K lie in the F- hypercenter of G then \(G/O_{p'}(G)\) is in F.
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20D25
zbMATH DE Number: 3880921
zbMATH Keywords: center
zbMATH Keywords: minimal p-subgroups
zbMATH Keywords: normal subgroup
zbMATH Keywords: saturated formation
zbMATH Keywords: hypercenter
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3880921