Reidemeister classes, wreath products, and solvability

DOI10.1134/s0001434623110779arXiv2301.12374OpenAlexW4392779964MaRDI QIDQ6194324

Evgenij V. Troitsky

Publication date: 19 March 2024

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

Full work available at URL: https://arxiv.org/abs/2301.12374

zbMATH Keywords

irreducible representationsolvable groupwreath productReidemeister numbertwisted conjugacy class

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx) Abstract finite groups (20Dxx) Structure and classification of infinite or finite groups (20Exx)

Cites Work

• Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem
• Aspects of the property \(R_\infty\).
• Reidemeister classes and twisted inner representations.
• Twisted conjugacy classes in saturated weakly branch groups.
• Automorphisms with finite Reidemeister number in residually finite groups.
• Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations
• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• Finite groups admitting a fixed-point-free automorphism group
• Twisted conjugacy in \(\mathrm{GL}_2\) and \(\mathrm{SL}_2\) over polynomial algebras over finite fields
• New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory
• Reidemeister classes in some lamplighter-type groups
• TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS
• AUTOMORPHISMS OF SEMIDIRECT PRODUCTS
• The Reidemeister Spectra of Low Dimensional Almost-Crystallographic Groups
• Reidemeister classes in lamplighter-type groups
• Twisted Burnside-Frobenius theory for discrete groups
• On groups where the twisted conjugacy class of the unit element is a subgroup

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