A remark on the Brauer-Fowler theorems
type: Item
instance of: scholarly article
title: A remark on the Brauer-Fowler theorems
zbMATH Open document ID: 1475.20055
author: Enrico Jabara
published in: Archiv der Mathematik
publication date: 2021-06-09T00:00:00Z
review text: The main result of the article is the following theorem that is proven using only elementary methods. Let \(G\) be a group of even order and assume that \(G\) does not have 2-rank 1. Then \(|G |<|C_G(t)|^6\) for some involution \(t\in G\).
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20D25
Mathematics Subject Classification ID: 20D20
zbMATH DE Number: 7357039
zbMATH Keywords: Brauer-Fowler theorem
zbMATH Keywords: involution
zbMATH Keywords: finite groups of even order
reviewed by: Igor Subbotin
MaRDI profile type: Publication
full work available at URL: s00013-020-01574-w
OpenAlex ID: W3119469150
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DOI: 10.1007/S00013-020-01574-W
description: scientific article; zbMATH DE number 7357039