Partially Commutative Metabelian Pro-P-Groups


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Abstract

We prove two theorems about a partially commutative metabelian pro-p-group. The first theorem concerns the structure of annihilators for the commutators of nonadjacent vertices of the defining graph, and the second discusses the centralizers of the vertices of the defining graph.

About the authors

S. G. Afanaseva

Novosibirsk State Technical University

Author for correspondence.
Email: melesheva@gmail.com
Russian Federation, Novosibirsk

E. I. Timoshenko

Novosibirsk State Technical University

Author for correspondence.
Email: eitim45@gmail.com
Russian Federation, Novosibirsk

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