Partially Commutative Metabelian Pro-P-Groups
- Authors: Afanaseva S.G.1, Timoshenko E.I.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 60, No 4 (2019)
- Pages: 559-564
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172477
- DOI: https://doi.org/10.1134/S0037446619040013
- ID: 172477
Cite item
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