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Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p

Finite p-Groups all of Whose Maximal Subgroups Either are Metacyclic or Have a Derived Subgroup of Order ≤ p

作     者:Lihua ZHANG Yanming XIA Qinhai ZHANG 

作者机构:Department of Mathematics Beijing University of Posts and Telecommunications Department of Mathematics Shanxi Normal University 

出 版 物:《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))

年 卷 期:2015年第36卷第1期

页      面:11-30页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by the National Natural Science Foundation of China(Nos.11371232,11101252) the Shanxi Provincial Natural Science Foundation of China(No.2013011001) the Fundamental Research Funds for the Central Universities(No.BUPT2013RC0901) 

主  题:Finite p-groups Nonmetacyclic p-groups Minimal nonabelian p-groups Maximal subgroups 

摘      要:The groups as mentioned in the title are classified up to isomorphism. This is an answer to a question proposed by Berkovich and Janko.

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