Abstract
The location of quasinormal subgroups in a group is not particularly well known. Maximal ones always have to be normal, but little has been proved about the minimal ones. In finite groups, the difficulties arise in the p-groups. Here we prove that, for every odd prime p, a quasinormal subgroup of order p2 in a finite p-group G contains a quasinormal subgroup of G of order p.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have