5 papers · 1 filter
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…
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 . The degree of twisted commutativity $\ma…
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…
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…
The Reidemeister spectrum of finite abelian groups
Pieter Senden
For a finite abelian group , the Reidemeister number of an endomorphism equals the size of , the set of fixed points of . Consequently, the Reidemeister…