On the maximum order of torsion elements in \(GL(n,\mathbb{Z})\) and \(\text{Aut}(F_n)\)

DOI10.1006/jabr.1998.7481zbMath0930.11070OpenAlexW1967107537MaRDI QIDQ1273399

Gilbert Levitt, Jean Louis Nicolas

Publication date: 16 February 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7481

zbMATH Keywords

general linear groupmaximal ordertorsion elementsautomorphism group of a free group

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Automorphism groups of groups (20F28) Classical groups (11E57) Infinite automorphism groups (20B27)

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Cites Work

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• Finite groups of automorphisms of free groups
• Finite subgroups of groups of outer automorphisms of free groups
• The maximum order of finite groups of outer automorphisms of free groups
• On the orders of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
• The centre of groups with one defining relator
• The Maximum Order of an Element of a Finite Symmetric Group
• Évaluation asymptotique de l'ordre maximum d'un élément du groupe symétrique
• The Largest Prime Dividing the Maximal Order of an Element of S n
• Sur l'ordre maximum d'un élément dans le groupe $S_n$ des permutations

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