Finite p-groups with a minimal non-abelian subgroup of index p (V)

Author:

Qu Haipeng1,Zhao Liping1,Gao Jin1,An Lijian1

Affiliation:

1. Department of Mathematics, Shanxi Normal University, Linfen Shanxi 041004, P. R. China

Abstract

In this paper, we classify finite 2-groups with a unique minimal non-abelian subgroup of index 2. We also classify finite 2-groups with a 2-generator abelian subgroup of index 2. This paper is a part of classification of finite p-groups with a minimal non-abelian subgroup of index p. Together with our previous work, we solved completely a problem proposed by Y. Berkovich.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

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