超可解群的一类判别准则

Criterion for Super-Solvable Groups

设G为有限群,群G的一个子群H称为G的NE-子群,如果H=NG(H)∩HG,利用极小子群为NE-子群来刻画群G的超可解性,推广了一些著名的结果.

Let G be a finite group,a subgroup H is said to be NE-subgroup in G if H=NG(H)∩HG.We use the minimal subgroup called NE-subgroup to characterize the super-solvable of G,generalizing some known results.