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- Title
On p-Separability of Subgroups of Free Metabelian Groups.
- Authors
Bardakov, Valerij G.; Bokut, L. A.
- Abstract
We prove that every free metabelian non-cyclic group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. As a corollary, we prove that for every prime number p, an arbitrary free metabelian non-cyclic group has a finitely generated p′-isolated subgroup which is not p-separable.
- Subjects
FREE metabelian groups; NILPOTENT groups; SEPARABLE algebras; REPRESENTATIONS of groups (Algebra); HOMOMORPHISMS; PRIME numbers
- Publication
Algebra Colloquium, 2006, Vol 13, Issue 2, p289
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386706000253