Some finite p-groups with bounded index of every cyclic subgroup in its normal closure

被引：17

作者：

Lv, Heng ^{[1
]}

Zhou, Wei ^{[1
]}

Yu, Dapeng ^{[2
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

[2] Chongqing Univ Arts & Sci, Dept Math & Stat, Chongqing 402160, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2011年 / 338卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Finite p-group; J-group; Normal closure; Regular p-group; GENERALIZED DEDEKIND GROUPS; BREADTH;

D O I：

10.1016/j.jalgebra.2011.02.046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite p-group. G is called a BI(p(m))-group if vertical bar < a >(G) : < a >vertical bar <= p(m) for every a is an element of G. In this paper, we mainly study the properties of BI(2)-groups and BI(p(2))-groups for p >= 3, and we study some B(I)(p(m))-groups (m >= 3) with some additional requirement. 2011 Elsevier Inc. All rights reserved.

引用

页码：169 / 179

页数：11

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