A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913058717171712 |
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| author | Feng, Zhicheng Fu, Qulei Zhou, Yuanyang |
| author_facet | Feng, Zhicheng Fu, Qulei Zhou, Yuanyang |
| contents | The Galois Alperin weight (GAW) conjecture has been reduced to the inductive GAW condition for simple groups. We proceed in two steps to refine this reduction. First, we propose the blockwise Galois Alperin weight (BGAW) conjecture and define its associated inductive BGAW condition. Second, assuming the inductive GAW (respectively, BGAW) condition for simple groups, we establish a stronger version of the GAW (respectively, BGAW) conjecture in terms of central (respectively, block) isomorphism of H-triples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15243 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples Feng, Zhicheng Fu, Qulei Zhou, Yuanyang Group Theory 20C20 The Galois Alperin weight (GAW) conjecture has been reduced to the inductive GAW condition for simple groups. We proceed in two steps to refine this reduction. First, we propose the blockwise Galois Alperin weight (BGAW) conjecture and define its associated inductive BGAW condition. Second, assuming the inductive GAW (respectively, BGAW) condition for simple groups, we establish a stronger version of the GAW (respectively, BGAW) conjecture in terms of central (respectively, block) isomorphism of H-triples. |
| title | A reduction theorem for the blockwise Navarro Alperin weight conjecture via H-triples |
| topic | Group Theory 20C20 |
| url | https://arxiv.org/abs/2512.15243 |