相关期刊:《Algebra Colloquium》《Chinese Annals of Mathematics,Series B》《Communications in Mathematics and Statistics》《Acta Mathematica Sinica,English Series》更多>>
Let G be a finite group and H a subgroup of G.We say that H is S-permutable in G if H permutes with every Sylow subgroup of G.A group G is called a generalized smooth group(GS-group)if[G/L]is totally smooth for every ...
The research was partially supported by the National Natural Science Foundation of China (11371237) and a grant of the First-Class Discipline of Universities in Shanghai.
Let a finite group A act on a finite p-group P with |P|〉 p^e, where e is an integer with e 〉 2. In this paper, we show that P is centralized by OP(A^Ap-1) if every non-maximal class p-group of order p^e in P is ...