A reduction theorem for the Navarro Alperin weight conjecture
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913052219146240 |
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| author | Feng, Zhicheng Fu, Qulei Zhou, Yuanyang |
| author_facet | Feng, Zhicheng Fu, Qulei Zhou, Yuanyang |
| contents | The Alperin weight conjecture has been reduced to simple groups by Navarro and Tiep. In this paper, we investigate the Navarro Alperin weight conjecture, which includes Galois automorphisms and group automorphisms in comparison with the original version, and give a reduction to simple groups. As an application, we prove the conjecture for the finite groups with abelian Sylow 2-subgroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02594 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A reduction theorem for the Navarro Alperin weight conjecture Feng, Zhicheng Fu, Qulei Zhou, Yuanyang Representation Theory The Alperin weight conjecture has been reduced to simple groups by Navarro and Tiep. In this paper, we investigate the Navarro Alperin weight conjecture, which includes Galois automorphisms and group automorphisms in comparison with the original version, and give a reduction to simple groups. As an application, we prove the conjecture for the finite groups with abelian Sylow 2-subgroups. |
| title | A reduction theorem for the Navarro Alperin weight conjecture |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2312.02594 |