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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19940 |
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| _version_ | 1866914128451338240 |
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| author | Holt, Derek |
| author_facet | Holt, Derek |
| contents | We prove that a quotient G/N of a subgroup G of Sym(n) by a nonabelian minimal normal subgroup N of G embeds into Sym(m) for some $m<n$. This result was proved previously by Robert Chamberlain, and we also prove that,if G is transitive, then we can take m \le 2n/5. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19940 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quotients of permutation groups by nonabelian minimal normal subgroups Holt, Derek Group Theory 20B05, 20B35 We prove that a quotient G/N of a subgroup G of Sym(n) by a nonabelian minimal normal subgroup N of G embeds into Sym(m) for some $m<n$. This result was proved previously by Robert Chamberlain, and we also prove that,if G is transitive, then we can take m \le 2n/5. |
| title | Quotients of permutation groups by nonabelian minimal normal subgroups |
| topic | Group Theory 20B05, 20B35 |
| url | https://arxiv.org/abs/2405.19940 |