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arXiv · 2601.09622

The eigenvalue one property of finite groups, II

Gerhard Hiss·Rafał Lutowski
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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 $R_{\infty}$-manifold.

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Gerhard Hiss, Rafał Lutowski. 2026-01-14. The eigenvalue one property of finite groups, II. https://arxiv.org/abs/2601.09622

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