On Lockett's conjecture for finite groups
type: Item
instance of: scholarly article
title: On Lockett's conjecture for finite groups
zbMATH Open document ID: 0822.20015
author: Aleksander Grytczuk
author: Nikolay T. Vorob'ev
published in: Tsukuba Journal of Mathematics
publication date: 1994-12-19T00:00:00Z
review text: The paper considers conditions for Fitting classes that are generalisations of Lockett's condition [\textit{F. P. Lockett}, Math. Z. 137, 131-136 (1974; Zbl 0286.20017)]. As a consequence of a theorem addressing these conditions, the following result is obtained which extends a result by \textit{N. T. Vorob'ev} [Mat. Zametki 43, 161-168 (1988; Zbl 0681.20010)]: If \(\mathbf F\) is a local Fitting class of soluble groups then \(\mathbf F\) satisfies Lockett's condition.
reviewed by: Hans Lausch
Mathematics Subject Classification ID: 20D10
Mathematics Subject Classification ID: 20F17
zbMATH DE Number: 701547
zbMATH Keywords: local Fitting classes
zbMATH Keywords: Lockett condition
zbMATH Keywords: finite soluble groups
Wikidata QID: Q123198012
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496162454
OpenAlex ID: W396713001
DOI: 10.21099/TKBJM/1496162454
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description: scientific article; zbMATH DE number 701547