On the Norm of Decomposable Subgroups in Locally Finite Groups

On the Norm of Decomposable Subgroups in Locally Finite Groups

We study the relationships between the norm of decomposable subgroups and the norm of Abelian noncyclic subgroups in the class of locally finite groups. We also describe some properties of periodic locally nilpotent groups in which the norm of decomposable subgroups is a non-Dedekind norm.

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Veröffentlicht in:Ukrainian mathematical journal 2015-09, Vol.67 (4), p.542-551
Hauptverfasser: Liman, F. N., Lukashova, T. D.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Beschreibung
Zusammenfassung:We study the relationships between the norm of decomposable subgroups and the norm of Abelian noncyclic subgroups in the class of locally finite groups. We also describe some properties of periodic locally nilpotent groups in which the norm of decomposable subgroups is a non-Dedekind norm.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-015-1099-8