Finite p-groups satisfying a weak chain condition

被引：0
|
作者：
Zhang, Junqiang [1 ]
Zhang, Qinhai [1 ,2 ]
机构：
[1] Shanxi Normal Univ, Math Dept, Taiyuan, Shanxi, Peoples R China
[2] Shanxi Normal Univ, Math Dept, Taiyuan 030031, Shanxi, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 09期
关键词：
2-groups of maximal class; A(t)-groups; ordinary metacyclic groups; MINIMAL NONABELIAN SUBGROUPS; NON-ABELIAN SUBGROUP; PROPER SUBGROUPS;
D O I：
10.1080/00927872.2024.2337275
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Assume G is an A(t)-group. G satisfies a weak chain condition if its every A(i)-subgroup is contained in an A(i+1)-subgroup for all i >= 1. We study two proper subclasses of the class of the A(t)-groups satisfying a weak chain condition, and the extreme case of the A(t)-groups satisfying a chain condition.
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页码：3932 / 3945
页数：14
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