PERMUTABILITY

作品数:8被引量:1H指数:1
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相关领域:理学更多>>
相关期刊:《Algebra Colloquium》《Chinese Annals of Mathematics,Series B》《Communications in Mathematics and Statistics》《Acta Mathematica Sinica,English Series》更多>>
相关基金:国家自然科学基金更多>>
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Finite Groups with Certain S-Permutable and GS-Maximal Subgroups
《Algebra Colloquium》2020年第4期661-668,共8页A.M.Elkholy M.H.Abd-Ellatif 
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 ...
关键词:smooth groups subgroup lattices S-permutability 
The Action on p-Groups and p-Supersolvability
《Algebra Colloquium》2017年第4期685-696,共12页Pengfei Bai Xiuyun Guo Boru Zhang 
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 ...
关键词:action maximal class p-group p-supersolvability 3p-permutability 
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