A note on the order of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
type: Item
instance of: scholarly article
title: A note on the order of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
zbMATH Open document ID: 0818.20063
DOI: 10.1007/BF01198081
author: Daniel N. Rockmore
author: Ki-Seng Tan
published in: Archiv der Mathematik
publication date: 1995-08-14T00:00:00Z
review text: A simple upper bound on the size of finite subgroups of \(\text{GL} (n, \mathbb{Z})\) is given. Only elementary number-theoretic arguments are used, thereby avoiding previous methods depending on estimates of the Jordan number and the classification of finite simple groups.
Mathematics Subject Classification ID: 20H25
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 11N45
zbMATH DE Number: 756430
zbMATH Keywords: upper bound
zbMATH Keywords: size of finite subgroups
zbMATH Keywords: \(\text{GL}(n,\mathbb{Z})\)
MaRDI profile type: Publication
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cites work: Post-classification version of Jordan's theorem on finite linear groups
full work available at URL: https://doi.org/10.1007/bf01198081
OpenAlex ID: W2033572046
description: scientific article; zbMATH DE number 756430