A reduction theorem for the Character Triple Conjecture
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910342997606400 |
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| author | Rossi, Damiano |
| author_facet | Rossi, Damiano |
| contents | In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi-simple groups. This answers the question on the existence of a self-reducing form of Dade's conjecture, a problem that was long investigated by Dade in the 1990s. Our result shows that this role is played by the Character Triple Conjecture, recently introduced by Späth, that we present here in a general form free of all previously imposed restrictions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A reduction theorem for the Character Triple Conjecture Rossi, Damiano Representation Theory Group Theory 20C20 (20C15) In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi-simple groups. This answers the question on the existence of a self-reducing form of Dade's conjecture, a problem that was long investigated by Dade in the 1990s. Our result shows that this role is played by the Character Triple Conjecture, recently introduced by Späth, that we present here in a general form free of all previously imposed restrictions. |
| title | A reduction theorem for the Character Triple Conjecture |
| topic | Representation Theory Group Theory 20C20 (20C15) |
| url | https://arxiv.org/abs/2402.10632 |