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math.GR2026

A note on invariant transversals for normal subgroups

Gerhard Hiss

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

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…