Groups whose Proper Subgroups of Infinite Rank are Minimax-by-Nilpotent or Nilpotent-by-Minimax

Let M denote the class of of soluble-by-finite minimax groups, and N the class of nilpotent groups. The main result states that if G is a group of infinite rank whose proper subgroups of infinite rank are MN-groups, then G is either in MN or it is a group of Heineken-Mohamed type, provided that G sa...

Full description

Bibliographic Details
Main Author: Amel Zitouni
Format: Article
Language:English
Published: Aracne 2020-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/10/Zitouni.pdf