The eigenvalue one property of finite groups, I
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917979165294592 |
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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_2504_04978 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The eigenvalue one property of finite groups, I Hiss, Gerhard Lutowski, Rafał Group Theory 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, I |
| topic | Group Theory |
| url | https://arxiv.org/abs/2504.04978 |