Title of article :
IRREDUNDANT FAMILIES OF MAXIMAL SUBGROUPS OF FINITE SOLVABLE GROUPS
Author/Authors :
Stocka ، Agnieszka Faculty of Mathematics - University of Bialystok
Abstract :
Let M be a family of maximal subgroups of a group G. We say that M is irredundant if its intersection is not equal to the intersection of any proper subfamily of 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 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.
Keywords :
Intersection of maximal subgroups and maximal dimension and finite solvable groups
Journal title :
International Journal of Group Theory
Journal title :
International Journal of Group Theory