Ballester-Bolinches, A.; Fakieh, W. M.; Pedraza Aguilera, María Carmen(Springer-Verlag, 2019-04)
[EN] In this paper, mutually sn-permutable subgroups of groups belonging to a class of generalised supersoluble groups are studied. Some analogs of known theorems on mutually sn-permutable products are established.
A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids its chief factors. Partial cover and avoidance property has turned out to be very useful ...
We study finite groups in which every maximal subgroup is
supersoluble or normal. Our results answer some questions arising from
papers of Asaad and Rose.
Ballester-Bolinches, A.; Cossey, J.; Madanha, S. Y.; Pedraza Aguilera, María Carmen(Springer-Verlag, 2024-02)
[EN] We say a group G = AB is the totally semipermutable product of subgroups A and B if every Sylow subgroup P of A is totally permutable with every Sylow subgroup Q of B whenever gcd(|P|,|Q|)=1\documentclass[12pt]{minimal} ...