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Irredundant families of maximal subgroups of finite solvable groups | ||
| International Journal of Group Theory | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 02 خرداد 1401 اصل مقاله (429.29 K) | ||
| نوع مقاله: Ischia Group Theory 2020/2021 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2022.130778.1751 | ||
| نویسنده | ||
Agnieszka Stocka 
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| Faculty of Mathematics, University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland | ||
| چکیده | ||
| Let $\mathcal{M}$ be a family of maximal subgroups of a group $G.$ We say that $\mathcal{M}$ is irredundant if its intersection is not equal to the intersection of any proper subfamily of $\mathcal{M}$. The maximal dimension of $G$ is the maximal size of an irredundant family of maximal subgroups of $G$. In this paper we study a class of solvable groups, called $\mathcal{M}$-groups, in which the maximal dimension has properties analogous to that of the dimension of a vector space such as the span property, the extension property and the basis exchange property. | ||
| کلیدواژه‌ها | ||
| Intersection of maximal subgroups and maximal dimension and finite solvable groups | ||
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آمار تعداد مشاهده مقاله: 103 تعداد دریافت فایل اصل مقاله: 26 |
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