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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2017; 54(4): 1109-1120

Online first article June 12, 2017      Printed July 1, 2017

https://doi.org/10.4134/JKMS.j160178

Copyright © The Korean Mathematical Society.

Finite $p$-groups whose non-abelian subgroups have the same center

Lifang Wang

Shanxi Normal University

Abstract

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For an odd prime $p$, finite $p$-groups whose non-abelian subgroups have the same center are classified in this paper.

Keywords: minimal non-abelian groups, $\mathcal{A}_2$-groups, the center of a group

MSC numbers: 20D15

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