Real 2-blocks in quasi-simple groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916037847416832 |
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| author | McHugh, John Revere Fry, A. A. Schaeffer |
| author_facet | McHugh, John Revere Fry, A. A. Schaeffer |
| contents | We determine which quasi-simple groups have a non-principal $2$-block that is stable under complex conjugation. As a corollary, we determine that the Mathieu group $M_{22}$ is the only simple group not possessing a nontrivial irreducible Brauer character of quadratic type, answering a recent question of Gow and Murray. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22969 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Real 2-blocks in quasi-simple groups McHugh, John Revere Fry, A. A. Schaeffer Representation Theory Group Theory 20C20 (Primary) 20C33 We determine which quasi-simple groups have a non-principal $2$-block that is stable under complex conjugation. As a corollary, we determine that the Mathieu group $M_{22}$ is the only simple group not possessing a nontrivial irreducible Brauer character of quadratic type, answering a recent question of Gow and Murray. |
| title | Real 2-blocks in quasi-simple groups |
| topic | Representation Theory Group Theory 20C20 (Primary) 20C33 |
| url | https://arxiv.org/abs/2605.22969 |