Reidemeister classes in some lamplighter-type groups

DOI10.1134/S0001434623030343OpenAlexW4365813568MaRDI QIDQ2699803

Evgenij V. Troitsky

Publication date: 19 April 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434623030343

zbMATH Keywords

lamplighter groupwreath productReidemeister numbertwisted conjugacy class

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) Group theory and generalizations (20-XX) Combinatorics (05-XX)

Related Items (2)

Reidemeister classes in some weakly branch groups ⋮ Reidemeister classes, wreath products, and solvability

Cites Work

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• Twisted Burnside-Frobenius theorem and \(R_\infty\)-property for lamplighter-type groups
• Aspects of the property \(R_\infty\).
• Reidemeister classes and twisted inner representations.
• Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
• Automorphisms of higher rank lamplighter groups
• AUTOMORPHISMS OF SEMIDIRECT PRODUCTS
• Twisted conjugacy classes in nilpotent groups
• Reidemeister classes in lamplighter-type groups
• Twisted Burnside-Frobenius theory for discrete groups

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