The Moebius function on the lattice of normal subgroups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917906702401536 |
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| author | Constantine, Gregory M |
| author_facet | Constantine, Gregory M |
| contents | By studying lattices of normal subgroups, especially those of the socle and radical, an expression is obtained for the minimal number of conjugacy classes required to generate a group. This number is shown to be captured by the character table. The Moebius function is then used to extract information on the faithful irreducible representations of a group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Moebius function on the lattice of normal subgroups Constantine, Gregory M Group Theory Combinatorics By studying lattices of normal subgroups, especially those of the socle and radical, an expression is obtained for the minimal number of conjugacy classes required to generate a group. This number is shown to be captured by the character table. The Moebius function is then used to extract information on the faithful irreducible representations of a group. |
| title | The Moebius function on the lattice of normal subgroups |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2501.18079 |