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On the influence of transitively normal subgroups on the structure of some infinite groups
Kurdachenko, Leonid. A.
Otal, Javier.

Data: 2013
Resum: A transitively normal subgroup of a group G is one that is normal in every subgroup in which it is subnormal. This concept is obviously related to the transitivity of normality because the latter holds in every subgroup of a group G if and only if every subgroup of G is transitively normal. In this paper we describe the structure of a group whose cyclic subgroups (or a part of them) are transitively normal.
Drets: Tots els drets reservats
Llengua: Anglès
Document: article ; recerca ; publishedVersion
Matèria: Transitively normal subgroup ; Dedekind group ; T-group ; Su-persoluble group ; Hypercyclic group ; Radical group ; Generalized radical group
Publicat a: Publicacions Matemàtiques, Vol. 57, Núm. 1 (2013) , p. 83-106

DOI: 10.5565/PUBLMAT_57113_03

24 p, 375.5 KB

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