An improved method for generating the centralizer of an involution
type: Item
instance of: scholarly article
title: An improved method for generating the centralizer of an involution
zbMATH Open document ID: 0956.20022
author: John N. Bray
published in: Archiv der Mathematik
publication date: 2000-12-11T00:00:00Z
review text: The author compares two methods of computation of the centralizer of an involution in a finite group: the first is due to R. Parker and \textit{S. Norton} [Santa Cruz Conf. 1979, Proc. Symp. Pure Math. 37, 271-277 (1980; Zbl 0448.20018)] and the second to the author. In particular, the author illustrates his method by proving the following result: The group \(\langle x,y\mid x^2=y^7=(xy)^{11}=[x,y]^2=[x,y^2]^3=[x,y^3]^3=1\rangle\) is isomorphic to \(2^2\cdot U_6(2)\).
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20-04
zbMATH DE Number: 1462964
zbMATH Keywords: computational group theory
zbMATH Keywords: presentations
zbMATH Keywords: centralizers of involutions
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
full work available at URL: s000130050437
OpenAlex ID: W2071016487
DOI: 10.1007/S000130050437
description: scientific article; zbMATH DE number 1462964