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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09161 |
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| _version_ | 1866918438516031488 |
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| author | Jiang, Fuming Zhang, Kun Zhou, Yuanyang |
| author_facet | Jiang, Fuming Zhang, Kun Zhou, Yuanyang |
| contents | In this paper, we prove that a \(p\)-block with abelian defect group is inertial if it covers a \(p\)-block of a normal subgroup of \(p\)-power index having only one irreducible Brauer character orbit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09161 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Blocks with only one irreducible Brauer character orbit Jiang, Fuming Zhang, Kun Zhou, Yuanyang Group Theory Representation Theory In this paper, we prove that a \(p\)-block with abelian defect group is inertial if it covers a \(p\)-block of a normal subgroup of \(p\)-power index having only one irreducible Brauer character orbit. |
| title | Blocks with only one irreducible Brauer character orbit |
| topic | Group Theory Representation Theory |
| url | https://arxiv.org/abs/2604.09161 |