Pieter Senden

activity

20202026

most citedTwisted Conjugacy in Direct Products of Groups

8 citations · 16 across the 9 of their papers we have counts for

collaborators

9 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.GR2025

Twisted commutativity and conjugacy ratio in groups

Laura Ciobanu, Gemma Crowe, Pieter Senden +1

In this paper we introduce and study the degree of twisted commutativity and the twisted conjugacy ratio of a finitely generated group $G$ . The degree of twisted commutativity $\ma…

math.GR2025

The product formula for Reidemeister numbers on nilpotent groups

Pieter Senden

We study the product formula for Reidemeister numbers on finitely generated torsion-free nilpotent groups in two ways. On the one hand, we generalise the product formula to central…

math.GR2025

Reidemeister spectra of free nilpotent groups and plethysms of Schur functions

Pieter Senden

We establish a strong link between two open problems: determining the Reidemeister spectrum of free nilpotent groups and determining the coefficients in the Schur expansion of plet…

math.GR2022★ 1 cited

The Reidemeister spectrum of direct products of nilpotent groups

Pieter Senden

We investigate the Reidemeister spectrum of direct products of nilpotent groups. More specifically, we prove that the Reidemeister spectra of the individual factors yield complete…

math.GR2022

The Reidemeister spectrum of finite abelian groups

Pieter Senden

For a finite abelian group $A$ , the Reidemeister number of an endomorphism $φ$ equals the size of $Fix (φ)$ , the set of fixed points of $φ$ . Consequently, the Reidemeister…

math.GR2021

The Reidemeister spectrum of split metacyclic groups

Pieter Senden

Given a group $G$ and an automorphism $φ$ of $G$ , two elements $x, y \in G$ are said to be $φ$ -conjugate if $x = g y φ (g)^{- 1}$ for some $g \in G$ . The number of equivalence classes…

math.GR2021★ 8 cited

Twisted Conjugacy in Direct Products of Groups

Pieter Senden

Given a group $G$ and an endomorphism $φ$ of $G$ , two elements $x, y \in G$ are said to be $φ$ -conjugate if $x = g y φ (g)^{- 1}$ for some $g \in G$ . The number of equivalence classes…

math.GR2020★ 7 cited

The $R_{\infty}$ -property for right-angled Artin groups

Karel Dekimpe, Pieter Senden

Given a group $G$ and an automorphism $φ$ of $G$ , two elements $x, y \in G$ are said to be $φ$ -conjugate if $x = g y φ (g)^{- 1}$ for some $g \in G$ . The number of equivalence classe…

Bi-twisted conjugacy in finite groups

Twisted commutativity and conjugacy ratio in groups

The product formula for Reidemeister numbers on nilpotent groups

Reidemeister spectra of free nilpotent groups and plethysms of Schur functions

The Reidemeister spectrum of direct products of nilpotent groups

The Reidemeister spectrum of finite abelian groups

The Reidemeister spectrum of split metacyclic groups

Twisted Conjugacy in Direct Products of Groups

The R∞​-property for right-angled Artin groups

The $R_{\infty}$ -property for right-angled Artin groups