تقرير
Maximal subgroups of small index of finite almost simple groups
| العنوان: | Maximal subgroups of small index of finite almost simple groups |
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| المؤلفون: | Ballester-Bolinches, A., Esteban-Romero, R., Jiménez-Seral, P. |
| المصدر: | Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. (2022) 116:183 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20E28, 20E32, 20B15 |
| الوصف: | We prove in this paper that a finite almost simple group $R$ with socle the non-abelian simple group $S$ possesses a conjugacy class of core-free maximal subgroups whose index coincides with the smallest index $\operatorname{l}(S)$ of a maximal group of $S$ or a conjugacy class of core-free maximal subgroups with a fixed index $v_S \leq {\operatorname{l}(S)^2}$, depending only on $S$. We show that the number of subgroups of the outer automorphism group of $S$ is bounded by $\log^3 {\operatorname{l}(S)}$ and $\operatorname{l}(S)^2 < |S|$. Comment: 20 pages There is a change in the title with respect to the first draft. This paper has been published under an open access license thanks to the CRUE-CSIC agreement with Springer Nature |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s13398-022-01327-0 |
| URL الوصول: | http://arxiv.org/abs/2203.16976 |
| رقم الأكسشن: | edsarx.2203.16976 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s13398-022-01327-0 |
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