A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well known that permutable subgroups play an important role in many problems in group theory, and the purpose of this paper is to describe the structure of uncountable groups of regular cardinality ℵ in which all large subgroups are permutable.
Permutability in uncountable groups / DE FALCO, Maria; Evans, MARTIN JULIAN; DE GIOVANNI, Francesco; Musella, Carmela. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 197:4(2018), pp. 1417-1427. [10.1007/s10231-018-0730-3]
Permutability in uncountable groups
Maria De Falco;EVANS, MARTIN JULIAN;Francesco de Giovanni;Carmela Musella
2018
Abstract
A subgroup X of a group G is called permutable if XY = Y X for all subgroups Y of G. It is well known that permutable subgroups play an important role in many problems in group theory, and the purpose of this paper is to describe the structure of uncountable groups of regular cardinality ℵ in which all large subgroups are permutable.File in questo prodotto:
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