Centralizer Dimensions and Universal Theories for Partially Commutative Metabelian Groups


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Abstract

Centralizer dimensions are computed for partially commutative metabelian groups SΓ whose defining graphs Γ are trees. Universal theories of partially commutative metabelian groups defined by cycles and linear graphs are studied.

About the authors

E. I. Timoshenko

Novosibirsk State Technical University

Author for correspondence.
Email: algebra@nstu.ru
Russian Federation, pr. Marksa 20, Novosibirsk, 630092

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