Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913498981728256 |
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| author | Eaton, Charles W. Livesey, Michael |
| author_facet | Eaton, Charles W. Livesey, Michael |
| contents | We classify all $2$-blocks with abelian defect groups of rank $4$ up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05734 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$ Eaton, Charles W. Livesey, Michael Group Theory 20C20 We classify all $2$-blocks with abelian defect groups of rank $4$ up to Morita equivalence. The classification holds for blocks over a suitable discrete valuation ring as well as for those over an algebraically closed field. An application is that Broué's abelian defect group conjecture holds for all blocks under consideration here. |
| title | Morita equivalence classes of $2$-blocks with abelian defect groups of rank $4$ |
| topic | Group Theory 20C20 |
| url | https://arxiv.org/abs/2310.05734 |