3 papers
math.GR2026
The eigenvalue one property of finite groups, II
Gerhard Hiss, Rafał 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, Rafał 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 -property of flat manifolds: Toward the eigenvalue one property of finite groups
Gerhard Hiss, Rafał 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…