Email this article Centralizer Dimensions of Partially Commutative Metabelian Groups
- Authors: Timoshenko E.I.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 57, No 1 (2018)
- Pages: 69-80
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234074
- DOI: https://doi.org/10.1007/s10469-018-9479-4
- ID: 234074
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Abstract
We establish an upper bound for the centralizer dimension of a partially commutative metabelian group that depends linearly on the number of vertices in a defining graph. It is proved that centralizer dimensions of 2-generated metabelian groups are not bounded above. The exact value of the centralizer dimension is computed for a partially commutative metabelian group defined by a cycle.
About the authors
E. I. Timoshenko
Novosibirsk State Technical University
Author for correspondence.
Email: eitim45@gmail.com
Russian Federation, pr. Marksa 20, Novosibirsk, 630092
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