Normality in Uncountable Groups

The main purpose of this paper is to describe the structure of uncountable groups of cardinality $\aleph$ in which all subgroups of cardinality $\aleph$ are normal. Moreover, uncountable groups are studied in which every uncountable non-abelian subgroup is normal.

Bibliographic Details
Main Authors: Maria De Falco, Francesco de Giovanni, Hermann Heineken, Carmela Musella
Format: Article
Language:English
Published: Aracne 2017-06-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/3/De%20Falco,%20de%20Giovanni,%20Heineken,%20Musella%20-%20Normality%20in%20uncountable%20groups.pdf