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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2017 Volume 58, Number 3, Pages 497–509 (Mi smj2875)
This article is cited in 2 papers

Comparison between the universal theories of partially commutative metabelian groups

V. Ya. Bloshchitsyna, E. I. Timoshenkob

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We find necessary and sufficient conditions for the coincidence of the universal theories of partially commutative groups of metabelian varieties defined by acyclic graphs.

Keywords: metabelian group, partially commutative group, acyclic graph, universal theory.

UDC: 512.5

MSC: 35R30

Received: 11.04.2016

DOI: 10.17377/smzh.2017.58.302


 English version: Siberian Mathematical Journal, 2017, 58:3, 382–391

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© Steklov Math. Inst. of RAS, 2024