On normalizers of Sylow subgroups in finite groups
type: Item
instance of: scholarly article
title: On normalizers of Sylow subgroups in finite groups
zbMATH Open document ID: 0941.20015
DOI: 10.1007/BF02674284
author: Adolfo Ballester-Bolinches
author: L. A. Shemetkov
published in: Siberian Mathematical Journal
publication date: 2000-04-16T00:00:00Z
review text: The authors prove the following theorem: If, for every prime \(p\), the normalizer of each Sylow \(p\)-subgroup of a group \(G\) is a \(p\)-nilpotent group then \(G\) is a nilpotent group. This theorem generalizes a theorem of \textit{I.~P.~Doktorov} [Mat. Zametki 24, No. 2, 149-159 (1978; Zbl 0428.20015)].
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20D15
zbMATH DE Number: 1432163
zbMATH Keywords: nilpotent groups
zbMATH Keywords: normalizers of Sylow subgroups
MaRDI profile type: Publication
cites work: Q5639863
cites work: Q3864704
cites work: Über eine Bemerkung von Glauberman. (On a remark of Glauberman)
cites work: Finite soluble groups
cites work: On finite groups with nilpotent Sylow-normalizers
full work available at URL: https://doi.org/10.1007/bf02674284
OpenAlex ID: W1972909364
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description: scientific article; zbMATH DE number 1432163