On Splittings, Subgroups, and Theories of Partially Commutative Metabelian Groups


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Abstract

We consider two splittings of a partially commutative metabelian group G. The universal theories and splittings of G are compared. We prove that all nilpotent subgroups of G are abelian and give description of the Fitting subgroup of G.

About the authors

E. I. Timoshenko

Novosibirsk State Technical University

Author for correspondence.
Email: algebra@nstu.ru
Russian Federation, Novosibirsk


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