NN-群的结构

The structure of NN-group

设G为有限群,H≤G.称H是群G的NR-子群,如果对于任意子群A■H,都有A=AG∩H成立.称有限群G为NN-群,若对任意子群H≤G,H为G的正规子群或NR-子群.本文将讨论NN群的结构及性质.

Let G be a finite group,H≤G.Call H is a NR-subgroup of G,if A=AG∩H for any A■H.Call a finite group G NN-group,if for any subgroup H≤G,H is either normal subgroup or NR-subgroup of G.This paper discusses the structure and nature of NN-groups.