Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916687624798208 |
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| author | Eisele, Florian Flores, Ricardo J. Franquiz MacQuarrie, John W. |
| author_facet | Eisele, Florian Flores, Ricardo J. Franquiz MacQuarrie, John W. |
| contents | We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is only one Morita equivalence class of blocks having the infinite dihedral pro-$2$ group as their defect group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09286 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups Eisele, Florian Flores, Ricardo J. Franquiz MacQuarrie, John W. Representation Theory Group Theory 20E18, 20C07, 20C20 We introduce block pro-fusion systems for blocks of profinite groups, prove a profinite version of Puig's structure theorem for nilpotent blocks, and use it to show that there is only one Morita equivalence class of blocks having the infinite dihedral pro-$2$ group as their defect group. |
| title | Block pro-fusion systems for profinite groups and blocks with infinite dihedral defect groups |
| topic | Representation Theory Group Theory 20E18, 20C07, 20C20 |
| url | https://arxiv.org/abs/2504.09286 |