Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups

DOI10.4153/CMB-2012-013-7zbMath1296.20034arXiv1111.6181OpenAlexW2084615082MaRDI QIDQ5405300

Parameswaran Sankaran, T. Mubeena

Publication date: 2 April 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6181

zbMATH Keywords

hyperbolic groupstwisted conjugacy classescharacteristic subgroupsMargulis normal subgroup theoremNielsen-Reidemeister theory

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Automorphisms of infinite groups (20E36) Fixed points and coincidences in algebraic topology (55M20) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (23)

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 ⋮ The \(R_\infty\)-property for right-angled Artin groups ⋮ Twisted conjugacy classes in general and special linear groups. ⋮ Structure and automorphisms of pure virtual twin groups ⋮ The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains. ⋮ Twisted conjugacy in big mapping class groups ⋮ Reidemeister classes in some weakly branch groups ⋮ The Reidemeister spectrum of finite abelian groups ⋮ Twisted conjugacy in linear algebraic groups ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property ⋮ Twisted Conjugacy Classes for Polyfree Groups ⋮ A note on the R_∞ property for groups FAlt(X)⩽G⩽Sym(X) ⋮ Twisted conjugacy and quasi-isometric rigidity of irreducible lattices in semisimple Lie groups ⋮ Automorphisms of odd Coxeter groups ⋮ Twisted conjugacy classes in lattices in semisimple Lie groups ⋮ Some remarks on twin groups ⋮ 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 ⋮ Twisted conjugacy classes in Chevalley groups.

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