Sam Tertooy

collaborators

5 papers

math.GR2026

Bi-twisted conjugacy in finite groups

Pieter Senden, Sam Tertooy

We provide two alternative ways to determine the number of bi-twisted conjugacy classes in a finite group: one using irreducible characters and one using ordinary conjugacy classes…

math.GR2026

Class numbers and nilpotent subgroups of $PGL (2, q)$

Sam Tertooy

We show that for certain odd prime powers $q$ , the number of conjugacy classes of $PGL (2, q)$ is greater than the order of its largest nilpotent subgroup. This answers nega…

math.GR2026

Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II

Sam Tertooy

We construct an algorithm that, given a pair of homomorphisms between polycyclic-by-finite groups, determines whether their Reidemeister number is finite, and if so returns a set o…

math.GR2026

Extreme Reidemeister spectra of finite groups

Sam Tertooy

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 thes…

math.GR2026

Twisted conjugacy and separability

Sam Tertooy

A group $G$ is twisted conjugacy separable if for every automorphism $I ¨ $ , distinct $I ¨ $ -twisted conjugacy classes can be separated in a finite quotient. Likewise, $G$ is completel…

Bi-twisted conjugacy in finite groups

Class numbers and nilpotent subgroups of PGL(2,q)

Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II

Extreme Reidemeister spectra of finite groups

Twisted conjugacy and separability

Class numbers and nilpotent subgroups of $PGL (2, q)$