Twisted conjugacy classes in unitriangular groups

DOI10.1515/jgth-2018-0127zbMath1439.20029arXiv1805.05160OpenAlexW2963890320WikidataQ128913867 ScholiaQ128913867MaRDI QIDQ667022

Timur R. Nasybullov

Publication date: 12 March 2019

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05160

zbMATH Keywords

twisted conjugacyReidemeister number

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40)

Related Items (10)

Twisted conjugacy in linear algebraic groups. II ⋮ Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic ⋮ The \(R_\infty\) property for pure Artin braid groups ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Structure and automorphisms of pure virtual twin groups ⋮ Twisted conjugacy in linear algebraic groups ⋮ Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property ⋮ Automorphisms of odd Coxeter groups ⋮ Some remarks on twin groups ⋮ Twisted conjugacy in direct products of groups

Cites Work

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• The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups
• Twisted conjugacy classes in nilpotent groups.
• Twisted conjugacy classes in lattices in semisimple Lie groups
• Aspects of the property \(R_\infty\).
• The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains.
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• Nielsen periodic point theory on infra-nilmanifolds
• Twisted conjugacy classes in general and special linear groups.
• Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
• Twisted conjugacy classes in Chevalley groups.
• TheR_∞property for nilpotent quotients of surface groups
• The automorphism group of the group of unitriangular matrices over a field
• Twisted conjugacy classes in nilpotent groups
• Reidemeister spectrum of special and general linear groups over some fields contains 1
• Twisted Burnside-Frobenius theory for discrete groups
• The R _∞ property for free groups, free nilpotent groups and free solvable groups

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