Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups

DOI10.1134/S1061920818010028zbMath1486.20040arXiv1704.09013OpenAlexW2611401036MaRDI QIDQ1640025

Evgenij V. Troitsky, Alexander Fel'shtyn

Publication date: 13 June 2018

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.09013

zbMATH Keywords

Reidemeister classesGauss congruences for Reidemeister numbersnumber of fixed points of induced mapping

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (7)

Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem ⋮ New zeta functions of Reidemeister type and the twisted Burnside-Frobenius theory ⋮ Reidemeister classes in some weakly branch groups ⋮ Dynamical zeta functions of Reidemeister type and representations spaces ⋮ Orbit decidability and the conjugacy problem for some extensions of groups ⋮ Dynamical zeta functions of Reidemeister type ⋮ Reidemeister classes in lamplighter-type groups

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