Powerfully solvable and powerfully simple groups

被引：0
作者：
de las Heras, Iker [1 ]
Traustason, Gunnar [2 ]
机构：
[1] Univ Basque Country, Leioa, Spain
[2] Univ Bath, Bath, Avon, England
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 08期
关键词：
D O I：
10.1016/j.jpaa.2021.106714
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of powerfully nilpotent groups. We will also see that for a certain rich class of powerful groups we can naturally introduce the term powerfully simple group and prove a Jordan-Holder type theorem that justifies the term. (C) 2021 Elsevier B.V. All rights reserved.
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页数：20
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