Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic

DOI10.1016/j.jalgebra.2022.05.020OpenAlexW4281555482MaRDI QIDQ2144405

Oorna Mitra, Shripad M. Garge

Publication date: 13 June 2022

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

Full work available at URL: https://arxiv.org/abs/2202.09757

zbMATH Keywords

classical groupstwisted conjugacyautomorphisms of Chevalley groups

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups
• Twisted conjugacy classes in unitriangular groups
• Automorphisms of Chevalley groups of different types over commutative rings.
• Twisted conjugacy classes in lattices in semisimple Lie groups
• The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains.
• Sigma theory and twisted conjugacy. II: Houghton groups and pure symmetric automorphism groups
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• The Reidemeister number of any automorphism of a Gromov hyperbolic group is infinite.
• Twisted conjugacy classes in general and special linear groups.
• Twisted conjugacy in \(\mathrm{GL}_2\) and \(\mathrm{SL}_2\) over polynomial algebras over finite fields
• Twisted conjugacy classes in Chevalley groups.
• Most automorphisms of a hyperbolic group have very simple dynamics
• Centers of chevalley groups over commutative rings
• Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
• Endomorphisms of linear algebraic groups

This page was built for publication: Twisted conjugacy in classical Chevalley groups over certain domains of positive characteristic