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Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p 3
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Journal Article
Finite p-groups All of Whose Minimal Nonabelian Subgroups are Nonmetacyclic of Order p 3
2019
Overview
Assume p is an odd prime. We investigate finite p-groups all of whose minimal nonabelian subgroups are of order p3. Let P1-groups denote the p-groups all of whose minimal nonabelian subgroups are nonmetacyclic of order p3. In this paper, the P1-groups are classified, and as a by-product, we prove the Hughes’ conjecture is true for the P1-groups.
Publisher
Springer Nature B.V
Subject
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