The Reidemeister spectrum of finite abelian groups

DOI10.1017/s0013091523000500zbMath1530.20177arXiv2205.15740OpenAlexW4386492455MaRDI QIDQ6180582

Pieter Senden

Publication date: 22 December 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.15740

zbMATH Keywords

fixed pointsfinite abelian groupstwisted conjugacyReidemeister numberReidemeister spectrum

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite abelian groups (20K01) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Cites Work

• Unnamed Item
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• The \(R_{\infty}\) property for abelian groups
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• The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
• The Reidemeister spectra of low dimensional crystallographic groups
• Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
• Characteristic Subgroups of Finite Abelian Groups
• Twisted conjugacy classes in nilpotent groups
• Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups
• Automorphisms of Finite Abelian Groups
• The R _∞ property for free groups, free nilpotent groups and free solvable groups
• Twisted conjugacy in direct products of groups

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