Prefrattini subgroups and crowns

intersections of prefrattini subgroups in finite soluble groups

‎let $h$ be a prefrattini subgroup of a soluble finite group $g$‎. ‎in the‎ ‎paper it is proved that there exist elements $x,y in g$ such that the equality‎ ‎$h cap h^x cap h^y = phi (g)$ holds‎.

Smarandache algebras and their subgroups

In this paper we define S algebras and show that every finite group can be found in some S algebra.  We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.

Lava Crowns and Bridges

-Q-Fuzzy Subgroups and Normal Subgroups

In this paper, the notions of   , q  -Q-fuzzy subgroup and normal subgroup are introduced and some of their properties are investigated.

Multiplication of Crowns

It is known that the only finite topological spaces that are Hspaces are the discrete spaces. For a finite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable subdivision. In this paper we construct minimal models of the k-fold generalised multiplications of circles in the category of relational structures, including poset models. In particul...