The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains.

DOI10.1016/j.jalgebra.2015.09.030zbMath1332.20032arXiv1503.00668OpenAlexW2207975450MaRDI QIDQ891670

Timur R. Nasybullov

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1503.00668

zbMATH Keywords

Chevalley groupstwisted conjugacy classes\(R_\infty\)-propertyReidemeister numberslocal integral domainsperiodic automorphism groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Automorphisms of infinite groups (20E36) Fixed points and coincidences in algebraic topology (55M20) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (8)

The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic ⋮ Twisted conjugacy classes in twisted Chevalley groups ⋮ Twisted conjugacy classes in unitriangular groups ⋮ Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property ⋮ Reidemeister spectrum of special and general linear groups over some fields contains 1 ⋮ Twisted conjugacy in direct products of groups ⋮ Twisted conjugacy in \(\mathrm{GL}_2\) and \(\mathrm{SL}_2\) over polynomial algebras over finite fields

Cites Work

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