On normalizers of nilpotent subgroups.
type: Item
instance of: scholarly article
title: On normalizers of nilpotent subgroups.
zbMATH Open document ID: 1037.20021
DOI: 10.1016/S0021-8693(03)00094-2
author: Bernd Baumann
author: U. Meierfrankenfeld
published in: Journal of Algebra
publication date: 2003-12-03T00:00:00Z
review text: The authors give a very wide generalization (not only for finite groups) of \textit{G. Glauberman}'s theorem [Math. Z. 107, 1-20 (1968; Zbl 0172.03002)] which characterizes finite two-dimensional special linear groups as groups acting on \(p\)-groups with certain features. The precise formulation is too complicated to be stated here.
reviewed by: V. D. Mazurov
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20E25
zbMATH DE Number: 2012742
zbMATH Keywords: nilpotent group systems
zbMATH Keywords: Glauberman theorem
zbMATH Keywords: two-dimensional linear groups
MaRDI profile type: Publication
cites work: Engelsche Elemente Noetherscher Gruppen
cites work: The Structure of Alternative Division Rings
cites work: Q3681018
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cites work: Weakly closed elements of Sylow subgroups
description: scientific article; zbMATH DE number 2012742