학술논문

Finite $p$-groups all of whose subgroups of class 2 are generated by two elements
Document Type
Article
Source
대한수학회지, 56(3), pp.739-750 May, 2019
Subject
수학
Language
English
ISSN
2234-3008
0304-9914
Abstract
We proved that finite $p$-groups in the title coincide with finite $p$-groups all of whose non-abelian subgroups are generated by two elements. Based on the result, finite $p$-groups all of whose subgroups of class 2 are minimal non-abelian (of the same order) are classified, respectively. Thus two questions posed by Berkovich are solved.