Faculty of Mathematics, University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland
10.22108/ijgt.2022.130778.1751
Abstract
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.
Stocka, A. (2022). Irredundant families of maximal subgroups of finite solvable groups. International Journal of Group Theory, (), -. doi: 10.22108/ijgt.2022.130778.1751
MLA
Agnieszka Stocka. "Irredundant families of maximal subgroups of finite solvable groups". International Journal of Group Theory, , , 2022, -. doi: 10.22108/ijgt.2022.130778.1751
HARVARD
Stocka, A. (2022). 'Irredundant families of maximal subgroups of finite solvable groups', International Journal of Group Theory, (), pp. -. doi: 10.22108/ijgt.2022.130778.1751
VANCOUVER
Stocka, A. Irredundant families of maximal subgroups of finite solvable groups. International Journal of Group Theory, 2022; (): -. doi: 10.22108/ijgt.2022.130778.1751
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