Covering the set of $p$-elements in finite groups by Sylow $p$-subgroups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912449132756992 |
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| author | Maróti, Attila Martínez, Juan Moretó, Alexander |
| author_facet | Maróti, Attila Martínez, Juan Moretó, Alexander |
| contents | Let $G_p$ be the set of $p$-elements of a finite group $G$. Do we need all the Sylow $p$-subgroups of $G$ to cover $G_p$? Although this question does not have an affirmative answer in general, our work indicates that the answer is yes more often than one could perhaps expect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20029 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Covering the set of $p$-elements in finite groups by Sylow $p$-subgroups Maróti, Attila Martínez, Juan Moretó, Alexander Group Theory Let $G_p$ be the set of $p$-elements of a finite group $G$. Do we need all the Sylow $p$-subgroups of $G$ to cover $G_p$? Although this question does not have an affirmative answer in general, our work indicates that the answer is yes more often than one could perhaps expect. |
| title | Covering the set of $p$-elements in finite groups by Sylow $p$-subgroups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2506.20029 |