The main purpose of this paper is to describe the structure of uncountable groups of cardinality ℵ in which all subgroups of cardinality ℵ are normal. Moreover, uncountable groups are studied in which every uncountable non-abelian subgroup is normal.
Normality in uncountable groups / DE FALCO, Maria; DE GIOVANNI, Francesco; Musella, Carmela; Heineken, H.. - In: ADVANCES IN GROUP THEORY AND APPLICATIONS. - ISSN 2499-1287. - 3:(2017), pp. 13-29. [10 .4399/97888255036922]
Normality in uncountable groups
DE FALCO, MARIA;DE GIOVANNI, FRANCESCO;MUSELLA, CARMELA;
2017
Abstract
The main purpose of this paper is to describe the structure of uncountable groups of cardinality ℵ in which all subgroups of cardinality ℵ are normal. Moreover, uncountable groups are studied in which every uncountable non-abelian subgroup is normal.File in questo prodotto:
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