Gerhard Hiss

activity

20242026

collaborators

4 papers

math.GR2026

A note on invariant transversals for normal subgroups

Gerhard Hiss

The existence of invariant transversals for a normal subgroup $H$ in a group $G$ is investigated. This yields counterexamples to a conjecture in case $H$ is abelian and $G$ is fini…

math.GR2026

The eigenvalue one property of finite groups, II

Gerhard Hiss, RafaÅ Lutowski

We prove a conjecture of Dekimpe, De Rock and Penninckx concerning the existence of eigenvalues one in certain elements of finite groups acting irreducibly on a real vector space o…

math.GR2025

The eigenvalue one property of finite groups, I

Gerhard Hiss, RafaÅ Lutowski

We prove a conjecture of Dekimpe, De Rock and Penninckx concerning the existence of eigenvalues one in certain elements of finite groups acting irreducibly on a real vector space o…

math.RT2024

The $R_{\infty}$ -property of flat manifolds: Toward the eigenvalue one property of finite groups

Gerhard Hiss, RafaÅ Lutowski

We introduce a conjecture of Dekimpe, De Rock and Penninckx and sketch some major steps in its proof. This text presents an extended account of the talk of the first author given a…

A note on invariant transversals for normal subgroups

The eigenvalue one property of finite groups, II

The eigenvalue one property of finite groups, I

The R∞​-property of flat manifolds: Toward the eigenvalue one property of finite groups

The $R_{\infty}$ -property of flat manifolds: Toward the eigenvalue one property of finite groups