This article is cited in 17 papers

Universal theories for partially commutative metabelian groups

Ch. K. Gupta^a, E. I. Timoshenko<sup>b

a</sup> University of Manitoba, Winnipeg, Canada
^b Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We look at properties of partially commutative metabelian groups and of their universal theories. In particular, it is shown that two partially commutative metabelian groups defined by cycles are universally equivalent if and only if the cycles are isomorphic.

Keywords: partially commutative metabelian group, universal theory.

UDC: 512.5

Received: 21.02.2010

 English version: Algebra and Logic, 2011, 50:1, 1–16

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