2-blocks with abelian defect groups and inertial quotient of prime order
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915932128935936 |
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| author | Zhou, Qianhu Zhang, Kun |
| author_facet | Zhou, Qianhu Zhang, Kun |
| contents | In this paper, we classify all $2$-blocks for which the defect groups are abelian and the inertial quotient has prime order. As a consequence, we prove that Broué's abelian defect group conjecture holds for all blocks under consideration here. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09974 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 2-blocks with abelian defect groups and inertial quotient of prime order Zhou, Qianhu Zhang, Kun Group Theory In this paper, we classify all $2$-blocks for which the defect groups are abelian and the inertial quotient has prime order. As a consequence, we prove that Broué's abelian defect group conjecture holds for all blocks under consideration here. |
| title | 2-blocks with abelian defect groups and inertial quotient of prime order |
| topic | Group Theory |
| url | https://arxiv.org/abs/2604.09974 |