Finite simple groups have many classes of prime order elements
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915628733956096 |
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| author | Anzanello, Jessica Spiga, Pablo |
| author_facet | Anzanello, Jessica Spiga, Pablo |
| contents | Let $T$ be a finite non-abelian simple group. Giudici, Morgan and Praeger have shown that the order of $T$ is bounded above by a function depending on the maximum number of $\mathrm{Aut}(T)$-classes of elements of $T$ of prime-power order. In this note, we strengthen this result by showing, in particular, that prime-power can be replaced by prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite simple groups have many classes of prime order elements Anzanello, Jessica Spiga, Pablo Group Theory Let $T$ be a finite non-abelian simple group. Giudici, Morgan and Praeger have shown that the order of $T$ is bounded above by a function depending on the maximum number of $\mathrm{Aut}(T)$-classes of elements of $T$ of prime-power order. In this note, we strengthen this result by showing, in particular, that prime-power can be replaced by prime. |
| title | Finite simple groups have many classes of prime order elements |
| topic | Group Theory |
| url | https://arxiv.org/abs/2511.16583 |