تقرير
Finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal
| العنوان: | Finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal |
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| المؤلفون: | Kondrat'ev, A. S., Maslova, N. V., Revin, D. O. |
| المصدر: | Journal of Group Theory, 2020 |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20D06, 20D60, 20E07, 20D20 |
| الوصف: | A subgroup $H$ of a group $G$ is said to be pronormal in $G$ if $H$ and $H^g$ are conjugate in $\langle H, H^g \rangle$ for every $g \in G$. In this paper we classify finite simple groups $E_6(q)$ and ${}^2E_6(q)$ in which all the subgroups of odd index are pronormal. Thus, we complete a classification of finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1515/jgth-2020-0072 |
| URL الوصول: | http://arxiv.org/abs/1910.02524 |
| رقم الأكسشن: | edsarx.1910.02524 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1515/jgth-2020-0072 |
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