The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916609456603136 |
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| author | Madrid, Juan Martínez |
| author_facet | Madrid, Juan Martínez |
| contents | We classify all finite groups such that all irreducible character degrees appear with multiplicity at most $2$. As a consequence, we prove that the largest group with at most $2$ irreducible characters of the same degree is the Baby Monster. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree Madrid, Juan Martínez Group Theory Primary 20C15 We classify all finite groups such that all irreducible character degrees appear with multiplicity at most $2$. As a consequence, we prove that the largest group with at most $2$ irreducible characters of the same degree is the Baby Monster. |
| title | The Baby Monster is the largest group with at most $2$ irreducible characters with the same degree |
| topic | Group Theory Primary 20C15 |
| url | https://arxiv.org/abs/2409.03345 |