Article

Algebra and Logic

, 50:1

First online:

Universal theories for partially commutative metabelian groups

  • Ch. K. GuptaAffiliated withUniversity of Manitoba
  • , E. I. TimoshenkoAffiliated withNovosibirsk State Technical University Email author 

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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