0000000001173611
AUTHOR
J.c. Beidleman
showing 2 related works from this author
Transitivity of Sylow permutability, the converse of Lagrange's theorem, and mutually permutable products
2008
This paper is devoted to the study of mutually permutable products of finite groups. A factorised group G = AB is said to be a mutually permutable product of its factors A and B when each factor permutes with every subgroup of the other factor. We prove that mutually permutable products of Y -groups (groups satisfying the converse of Lagrange's theorem) and SC-groups (groups whose chief factors are simple) are SC -groups. Next, we show that a product of pairwise mutually permutable Y -groups is supersoluble. Finally, we give a local version of the result stating that if a mutually permutable product of two groups is a PST - group (that is, a group in which every subnormal subgroup permutes …
Some subgroup embeddings in finite groups
2015
In this survey paper several subgroup embedding properties related to some types of permutability are introduced and studied.