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- Title
On the Norm of Decomposable Subgroups in Nonperiodic Groups.
- Authors
Liman, F.; Lukashova, T.
- Abstract
We study the relationships between the properties of nonperiodic groups and the norms of their decomposable subgroups. In particular, we analyze the influence of restrictions imposed on the norm of decomposable subgroups on the properties of the group in the case where this norm is non-Dedekind. We also describe the structure of nonperiodic locally nilpotent groups for which the indicated norm is non-Dedekind. Moreover, some relations between the norm of noncyclic Abelian subgroups and the norm of decomposable subgroups are established.
- Subjects
SUBGROUP growth; GROUP theory; DEDEKIND sums; ABELIAN groups; DECOMPOSITION method
- Publication
Ukrainian Mathematical Journal, 2016, Vol 67, Issue 12, p1900
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-016-1198-1