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Algorithmic problems for class-2 nilpotents MR-groups
-
Mikheil Amaglobeli
and
Vladimir Remeslennikov
Published/Copyright:
November 4, 2015
Abstract
In this paper we investigate the basic algorithmic problems for class-2 nilpotent MR-groups. It is proved that, under an additional assumption of finite definiteness, all these problems have a positive solution and, in the general case, they have a negative solution for finitely generating groups.
Keywords: Algorithmic problems; nilpotent groups; Lyndon R-groups; Hall R-groups; MR-groups; α-commutators
Received: 2015-6-20
Accepted: 2015-8-27
Published Online: 2015-11-4
Published in Print: 2015-12-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Algorithmic problems for class-2 nilpotents MR-groups
- Morava K(s)*-rings of the extensions of Cp by the products of good groups under diagonal action
- Singular homology theory in the category of soft topological spaces
- S4.3 and hereditarily extremally disconnected spaces
- Relations of topologies as tools of (bi)topological applications
- The twisted Cartesian model for the double path fibration
- Removable sets for harmonic functions in Besov spaces
- Racks, Leibniz algebras and Yetter–Drinfel'd modules
- Homotopy properties of differential modules with simplicial F∞-faces and D∞-differential modules
- The fundamental groupoid as a terminal costack
- Relative topological finiteness
Keywords for this article
Algorithmic problems;
nilpotent groups;
Lyndon R-groups;
Hall R-groups;
MR-groups;
α-commutators
Articles in the same Issue
- Frontmatter
- Algorithmic problems for class-2 nilpotents MR-groups
- Morava K(s)*-rings of the extensions of Cp by the products of good groups under diagonal action
- Singular homology theory in the category of soft topological spaces
- S4.3 and hereditarily extremally disconnected spaces
- Relations of topologies as tools of (bi)topological applications
- The twisted Cartesian model for the double path fibration
- Removable sets for harmonic functions in Besov spaces
- Racks, Leibniz algebras and Yetter–Drinfel'd modules
- Homotopy properties of differential modules with simplicial F∞-faces and D∞-differential modules
- The fundamental groupoid as a terminal costack
- Relative topological finiteness
