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Finite p-groups all of whose proper subgroups have small derived subgroups 被引量:2

Finite p-groups all of whose proper subgroups have small derived subgroups
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摘要 Let G be a finite p-group.If the order of the derived subgroup of each proper subgroup of G divides pi,G is called a Di-group.In this paper,we give a characterization of all D1-groups.This is an answer to a question introduced by Berkovich. Let G be a finite p-group.If the order of the derived subgroup of each proper subgroup of G divides pi,G is called a Di-group.In this paper,we give a characterization of all D1-groups.This is an answer to a question introduced by Berkovich.
机构地区 Soochow Univ
出处 《Science China Mathematics》 SCIE 2010年第5期320-325,共6页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.10571128,10871032) Natural Science Foundation of Jiangsu Province (Grant No.BK2008156) Suzhou City Senior Talent Supporting Project
关键词 finite P-GROUP DERIVED SUBGROUP minimal non-abelian P-GROUP D1-group finite p-group derived subgroup minimal non-abelian p-group D1-group
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