,The Action on p-Groups and p-Supersolvability

来源 :代数集刊（英文版） | 被引量 : 0次 | 上传用户：drally

【摘要】

：

Let a finite group A act on a finite p-group P with |P| ＞ pe,where e is an integer with e ≥ 2.In this paper,we show that P is centralized by Op(A(x)p-1) if ever

【作者】

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Pengfei Bai Xiuyun Guo Boru Zhang

【机构】

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Department of Mathematics, Shanghai University, Shanghai 200444, China

【出处】

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代数集刊（英文版）

【发表日期】

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2017年4期

【关键词】

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action maximal class p-group p-supersolvability (3)p-permutability

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Let a finite group A act on a finite p-group P with |P| ＞ pe,where e is an integer with e ≥ 2.In this paper,we show that P is centralized by Op(A(x)p-1) if every non-maximal class p-group of order pe in P is stabilized by Op(A).As applications,some conditions are given for a finite group to be p-supersolvable.

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,The Action on p-Groups and p-Supersolvability

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