有限可解(q)群与(s—q)群的一个注记(英文)

A Note on Finite Solvable (q)-group and (s-q)-group

中文摘要:

      文[l].[2]分别研究了每个次正规子群为拟正规的有限群(即(q)群)以及每个次正规子群为s—q拟正规的有限群(即(s—q)群).本文利用广幂零群的概念对(q)群与(s—q)群给出了一个新的刻划,并得到内(s—q)群的完全分类。

英文摘要:

      In [l], [2], the authors studied the finite solvable group in which every subnormal subgroup is quasinormal (i.e., (s-g)-group) and the finite solvable group in which every subnormal subgroup is s-quasinormal (i.e., (s-q)-group). In this paper, we shall c