首页|Finite p-Groups G with H'=G'for Each A2-Subgroup H

Finite p-Groups G with H'=G'for Each A2-Subgroup H

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A finite p-group G is called an At-group if t is the minimal non-negative integer such that all subgroups of index pt of G are abelian.The finite p-groups G with H'=G'for all A2-subgroups H of G are classified completely in this paper.As an application,a problem proposed by Berkovich is solved.

finite p-groupminimal non-abelian subgroupA2-subgroupderived sub-group

Dandan Zhang、Haipeng Qu、Yanfeng Luo

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School of Mathematics and Statistics,Lanzhou University Lanzhou 730000,China

School of Mathematics and Computer Science,Shanxi Normal University Taiyuan 030032,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of China

121712131177119111771258

2023

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN:1005-3867
年,卷(期):2023.30(2)
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