Counting subgroups of a finite group containing a prescribed subgroup
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910924576653312 |
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| author | Guerra, Lorenzo Mastrogiacomo, Fabio Spiga, Pablo |
| author_facet | Guerra, Lorenzo Mastrogiacomo, Fabio Spiga, Pablo |
| contents | Let $R$ be a finite group, and let $T$ be a subgroup of $R$. We show that there are at most \[
7.3722[R:T]^{\frac{\log_2[R:T]}{4}+1.8919} \] subgroups of $R$ containing $T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00413 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting subgroups of a finite group containing a prescribed subgroup Guerra, Lorenzo Mastrogiacomo, Fabio Spiga, Pablo Group Theory Let $R$ be a finite group, and let $T$ be a subgroup of $R$. We show that there are at most \[ 7.3722[R:T]^{\frac{\log_2[R:T]}{4}+1.8919} \] subgroups of $R$ containing $T$. |
| title | Counting subgroups of a finite group containing a prescribed subgroup |
| topic | Group Theory |
| url | https://arxiv.org/abs/2505.00413 |