A sieve formula for chains of $p$-subgroups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916329643048960 |
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| author | Schwesig, Elias |
| author_facet | Schwesig, Elias |
| contents | Given a finite group $G$ and a prime $p$, we establish the sieve formula, which is a congruence containing as summands numbers of chains of $p$-subgroups of $G$ of certain orders. This generalises the Theorem of Sylow-Frobenius, using Wielandt's approach. Its name stems from the sieve formula from set theory because of formal similarities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13636 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A sieve formula for chains of $p$-subgroups Schwesig, Elias Group Theory 20D30 (Primary), 20D20, 20D15 (Secondary) Given a finite group $G$ and a prime $p$, we establish the sieve formula, which is a congruence containing as summands numbers of chains of $p$-subgroups of $G$ of certain orders. This generalises the Theorem of Sylow-Frobenius, using Wielandt's approach. Its name stems from the sieve formula from set theory because of formal similarities. |
| title | A sieve formula for chains of $p$-subgroups |
| topic | Group Theory 20D30 (Primary), 20D20, 20D15 (Secondary) |
| url | https://arxiv.org/abs/2407.13636 |