Extreme Reidemeister spectra of finite groups

Abstract

We extend the notions of "$R_{\infty }$-property" and "full (extended) Reidemeister spectrum" to finite groups in a meaningful way. We provide examples of finite groups admitting these properties, if they exist, by looking at groups of small order as well as (quasi)simple groups.

arXiv comment9 pages

References in corpus (3)

• Non-existence of Hopf-Galois structures and bijective crossed homomorphisms
• Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
• Dynamical zeta functions of Reidemeister type and representations spaces