Reidemeister classes in lamplighter-type groups

DOI10.1080/00927872.2018.1517358zbMath1468.20061arXiv1711.09371OpenAlexW2963907465WikidataQ128353340 ScholiaQ128353340MaRDI QIDQ5231176

Evgenij V. Troitsky

Publication date: 26 August 2019

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

Full work available at URL: https://arxiv.org/abs/1711.09371

zbMATH Keywords

lamplighter groupReidemeister numbertwisted conjugacy classresidually finite grouprestricted wreath product\(R_\infty\)-group

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Solvable groups, supersolvable groups (20F16) Unitary representations of locally compact groups (22D10) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26)

Related Items (6)

The \(R_\infty\) property for pure Artin braid groups ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Reidemeister classes, wreath products, and solvability ⋮ Reidemeister classes in some lamplighter-type groups ⋮ Chevalley groups of types \(B_n\), \(C_n\), \(D_n\) over certain fields do not possess the \(R_{\infty}\)-property ⋮ Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups

Cites Work

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• Dynamical zeta functions, Nielsen theory and Reidemeister torsion
• Twisted Burnside-Frobenius theory for discrete groups

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