This paper proves: Let F be a saturated formation containing U. Suppose that G is a group with a normal subgroup H such that G/H ∈ F. (1) If all maximal subgroups of any Sylow subgroup of F* (H) are c ...
Proceedings of the American Mathematical Society, Vol. 33, No. 2 (Jun., 1972), pp. 316-318 (3 pages) Let $\Delta(G)$ be the intersection of the nonnormal maximal subgroup of a finite group. W.
Combinatorial designs and finite group theory form a rich intersection of discrete mathematics and algebra, where structured arrangements of elements are studied alongside the algebraic properties of ...