Twisted conjugacy in \(\mathrm{GL}_2\) and \(\mathrm{SL}_2\) over polynomial algebras over finite fields

DOI10.1007/s10711-022-00681-yOpenAlexW4220773620MaRDI QIDQ2114371

Oorna Mitra, Parameswaran Sankaran

Publication date: 15 March 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-022-00681-y

zbMATH Keywords

conjugacy classesgeneral linear groupspecial linear groupReidemeister number

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic ⋮ Nielsen numbers of affine \(n\)-valued maps on nilmanifolds ⋮ Reidemeister classes, wreath products, and solvability

Cites Work

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• Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property
• On the structure of the \(GL_ 2\) of a ring
• Representations of SL2(Fq)
• Powers in Finitely Generated Groups
• Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
• The automorphisms of the linear groups over any integral domain.

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