The eigenvalue one property of finite groups, I

2025/04/07 by Hiss, Gerhard, Lutowski, Rafał
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2504.04978

Abstract

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 of odd dimension. This yields a sufficient condition for a closed flat manifold to be an R_∞-manifold.

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