Finite p-Groups all of Whose Maximal SubgroupsEither are Metacyclic or Have a DerivedSubgroup of Order ≤ p

Citation:

Lihua ZHANG,Yanming XIA,Qinhai ZHANG.Finite p-Groups all of Whose Maximal SubgroupsEither are Metacyclic or Have a DerivedSubgroup of Order ≤ p[J].Chinese Annals of Mathematics B,2015,36(1):11~30
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Authors:

Lihua ZHANG; Yanming XIA; Qinhai ZHANG;

Foundation:

supported by the National Natural Science Foundation of China (Nos. 11371232, 11101252), the Shanxi Provincial Natural Science Foundation of China (No. 2013011001) and the Fundamental Research Funds for the Central Universities (No.BUPT2013RC0901).
Abstract: The groups as mentioned in the title are classified up to isomorphism. This is an answer to a question proposed by Berkovich and Janko.

Keywords:

Finite p-groups, Nonmetacyclic p-groups, Minimal nonabelian p-groups, Maximal subgroups

Classification:

20D15
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