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

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s1005386723000238

Dandan Zhang, H. Qu, Yanfeng Luo

引用次数: 0

Abstract

A finite [Formula: see text]-group [Formula: see text] is called an [Formula: see text]-group if [Formula: see text]is the minimal non-negative integer such that all subgroups of index [Formula: see text] of [Formula: see text] are abelian. The finite [Formula: see text]-groups [Formula: see text] with [Formula: see text] for all [Formula: see text]-subgroups [Formula: see text] of [Formula: see text]are classified completely in this paper. As an application, a problem proposed by Berkovich is solved.

查看原文本刊更多论文

每个a2 -子群H具有H ' =G '的有限p群G

如果[公式:见文]是最小的非负整数，使得[公式:见文]的索引[公式:见文]的所有子群都是阿贝尔的，则有限[公式:见文]群[公式:见文]被称为[公式:见文]群。本文对所有[公式:见文]的[公式:见文]的有限[公式:见文]-群[公式:见文]-子群[公式:见文]进行了完全分类。作为应用，解决了Berkovich提出的一个问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.