The eigenvalue one property of finite groups, II
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866918289284792320 |
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| author | Hiss, Gerhard Lutowski, Rafał |
| author_facet | Hiss, Gerhard Lutowski, Rafał |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09622 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The eigenvalue one property of finite groups, II Hiss, Gerhard Lutowski, Rafał Group Theory 20C15, 20C33 (Primary) 55M20, 20F34 (Secondary) 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. |
| title | The eigenvalue one property of finite groups, II |
| topic | Group Theory 20C15, 20C33 (Primary) 55M20, 20F34 (Secondary) |
| url | https://arxiv.org/abs/2601.09622 |