Twisted conjugacy in linear algebraic groups. II

DOI10.1016/j.jalgebra.2022.03.031OpenAlexW4223657452MaRDI QIDQ2134027

Anirban Bose, Sushil Bhunia

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/2106.04242

zbMATH Keywords

algebraic groupstwisted conjugacyalgebraic \(R_{\infty}\)-property

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Structure theory for linear algebraic groups (20G07)

Related Items (1)

Twisted conjugacy in big mapping class groups

Cites Work

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• The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups
• The \(R_{\infty}\) property for abelian groups
• Twisted conjugacy classes in nilpotent groups.
• Twisted conjugacy classes in unitriangular groups
• Twisted conjugacy in simply connected groups.
• Aspects of the property \(R_\infty\).
• Automorphism groups of unipotent groups of Chevalley type
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• Conjugacy classes of non-connected semisimple algebraic groups.
• Integral conjugacy classes of compact Lie groups
• Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property
• Automorphisms of certain unipotent groups
• Twisted conjugacy in fundamental groups of geometric 3-manifolds
• Witt groups and unipotent elements in algebraic groups
• Lectures on Chevalley Groups
• Extensions of Vector Groups by Abelian Varieties
• Lectures on Nielsen fixed point theory
• Twisted conjugacy classes in twisted Chevalley groups
• Reidemeister spectrum of special and general linear groups over some fields contains 1
• Endomorphisms of linear algebraic groups
• Linear algebraic groups.

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