Corpus ID: 237940735

# The Reidemeister spectrum of split metacyclic groups

@inproceedings{Senden2021TheRS,
title={The Reidemeister spectrum of split metacyclic groups},
author={Pieter Senden},
year={2021}
}
Given a group G and an automorphism φ of G, two elements x, y ∈ G are said to be φ-conjugate if x = gyφ(g)−1 for some g ∈ G. The number of equivalence classes for this relation is the Reidemeister number R(φ) of φ. The set {R(ψ) | ψ ∈ Aut(G)} is called the Reidemeister spectrum of G. We fully determine the Reidemeister spectrum of split metacyclic groups of the form Cn ⋊ Cp where p is a prime and the action is non-trivial.

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