Sylow 2-subgroups of simple groups
type: Item
instance of: scholarly article
zbMATH Open document ID: 0997.20015
author: Koichiro Harada
author: Mong Lung Lang
publication date: 2002-11-14T00:00:00Z
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 1724322
zbMATH Keywords: Sylow 2-subgroups
zbMATH Keywords: finite simple groups
MaRDI profile type: Publication
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title: Sylow 2-subgroups of simple groups
review text: At the beginning of this article the authors list six problems connected with Sylow 2-subgroups of finite simple groups. Then in the remainder of this paper the authors deal mainly with the problem of finding characterizations of 2-groups which are Sylow 2-subgroups of simple groups. Without using the classification of finite simple groups they define a family of 2-groups such that every Sylow 2-subgroup of a simple group is a member of this class. This necessary condition however is not sufficient as this condition does not distinguish between Sylow 2-subgroups of simple groups and Sylow 2-subgroups of fusion simple groups. The paper closes with a long appendix where all 2-groups of order \(\leq 2^{46}\) are described which are Sylow 2-subgroups of simple groups.NEWLINENEWLINEFor the entire collection see [Zbl 0980.00029].
reviewed by: Ulrich Dempwolff
description: scientific article; zbMATH DE number 1724322