Automorphisms with finite Reidemeister number in residually finite groups.

DOI10.1016/j.jalgebra.2008.09.001zbMath1161.20026OpenAlexW2037940202MaRDI QIDQ958989

Enrico Jabara

Publication date: 10 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.09.001

zbMATH Keywords

soluble groupsautomorphismsresidually finite groupslinear groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Residual properties and generalizations; residually finite groups (20E26) Other matrix groups over fields (20H20)

Related Items (13)

The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Reidemeister classes and twisted inner representations. ⋮ The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains. ⋮ Reidemeister classes in some weakly branch groups ⋮ Reidemeister classes, wreath products, and solvability ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ REIDEMEISTER SPECTRUM FOR METABELIAN GROUPS OF THE FORM Qⁿ ⋊ ℤ AND ℤ[1/pⁿ ⋊ ℤ, p PRIME] ⋮ Groups admitting an automorphism of prime order with finite centralizer. ⋮ On groups where the twisted conjugacy class of the unit element is a subgroup ⋮ Some results of left and right α-commutators of groups ⋮ 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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