On Normal Subgroups of Products of Nilpotent Groups

Author:

Amberg Bernhard,Franciosi Silvana,De Giovanni Francesco

Abstract

AbstractLet G be a group factorized by finitely many pairwise permutable nilpotent subgroups. The aim of this paper is to find conditions under which at least one of the factors is contained in a proper normal subgroup of G.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Obituary: Francesco de Giovanni (1955–2024);Mediterranean Journal of Mathematics;2024-03-29

2. FC-nilpotent products of hypercentral groups;Forum Mathematicum;1995

3. Finiteness conditions and factorizations in infinite groups;Russian Mathematical Surveys;1992-06-30

4. Infinite factorized groups;Groups — Korea 1988;1989

5. Products of groups with finite rank;Archiv der Mathematik;1987-11

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