Locally finite groups with small normalizers
type: Item
instance of: scholarly article
title: Locally finite groups with small normalizers
zbMATH Open document ID: 0642.20030
DOI: 10.1007/BF01158242
author: B. George
published in: Mathematical Notes
publication date: 1987-01-01T00:00:00Z
review text: The author classifies locally finite groups G in which \(N_ G(H)=H\cdot C_ G(H)\) for every subgroup \(H\in K(G)\), where K(G) is one of the following sets of subgroups of G: the set of all abelian subgroups, the set of all non-abelian subgroups, the set of all primary subgroups, the set of all non-primary subgroups.
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E34
Mathematics Subject Classification ID: 20E15
zbMATH DE Number: 4046013
zbMATH Keywords: locally finite groups
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
cites work: The characterization of finite groups with abelian Sylow 2-subgroups
cites work: Q3253828
cites work: Finite groups of even order in which Sylow 2-groups are independent
cites work: On a class of doubly transitive groups
description: scientific article; zbMATH DE number 4046013