TY - JOUR
ID - 26620
TI - Irredundant families of maximal subgroups of finite solvable groups
JO - International Journal of Group Theory
JA - IJGT
LA - en
SN - 2251-7650
AU - Stocka, Agnieszka
AD - Faculty of Mathematics, University of Bialystok, Ciolkowskiego 1M, 15-245 Bialystok, Poland
Y1 - 2023
PY - 2023
VL - 12
IS - 3
SP - 163
EP - 176
KW - Intersection of maximal subgroups and maximal dimension and finite solvable groups
DO - 10.22108/ijgt.2022.130778.1751
N2 - 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.
UR - https://ijgt.ui.ac.ir/article_26620.html
L1 - https://ijgt.ui.ac.ir/article_26620_64963867053680d71eab444f3ff10382.pdf
ER -