The R ∞ property for free groups, free nilpotent groups and free solvable groups

DOI10.1112/blms/bdu029zbMath1304.20051arXiv1303.1346OpenAlexW3103427187MaRDI QIDQ5495344

Karel Dekimpe, Daciberg Lima Gonçalves

Publication date: 4 August 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.1346

zbMATH Keywords

automorphismsfree nilpotent groupsfree solvable groups\(R_\infty\) property, twisted conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Fixed points and coincidences in algebraic topology (55M20) Free nonabelian groups (20E05)

Related Items

The Reidemeister spectrum of 2-step nilpotent groups determined by graphs ⋮ The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups ⋮ Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups ⋮ The \(R_\infty\)-property for right-angled Artin groups ⋮ The \(R_\infty\) property for pure Artin braid groups ⋮ The \(\mathrm{R}_\infty\)-property for nilpotent quotients of Baumslag-Solitar groups ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Structure and automorphisms of pure virtual twin groups ⋮ Reidemeister classes in some weakly branch groups ⋮ The \(R_{\infty}\) property for nilpotent quotients of generalized solvable Baumslag-Solitar groups ⋮ The Reidemeister spectrum of finite abelian groups ⋮ Two examples related to the twisted Burnside-Frobenius theory for infinitely generated groups ⋮ Twisted conjugacy classes in unitriangular groups ⋮ Twisted conjugacy and quasi-isometric rigidity of irreducible lattices in semisimple Lie groups ⋮ Some remarks on twin groups ⋮ Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups ⋮ Reidemeister spectra for solvmanifolds in low dimensions ⋮ Twisted conjugacy in direct products of groups

Cites Work

• Twisted conjugacy classes in nilpotent groups.
• Twisted conjugacy classes in saturated weakly branch groups.
• Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites.
• Integration in free groups
• On ℤ-Modules of Algebraic Integers
• Twisted conjugacy classes in nilpotent groups
• Unnamed Item

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