p-subnormal subgroup;
p-quasinormal subgroup;
p-subnormalizer of a subgroup;
D O I:
暂无
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper we present some results for p-subnormal subgroups (concept introduced by KEGEL in [6]). These statements are analogous to some well-known results for subnormal subgroups, mainly due to Wielandt, and they hold in all p-soluble groups. Nevertheless, since the set of all p-subnormal subgroups of a group fails to be a lattice new arguments have to be used.