Email this article Universal Theories and Centralizer Dimensions of Groups
- Authors: Timoshenko E.I.1
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Affiliations:
- Novosibirsk State Technical University
- Issue: Vol 58, No 3 (2019)
- Pages: 268-281
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234140
- DOI: https://doi.org/10.1007/s10469-019-09545-z
- ID: 234140
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Abstract
The exact value of the centralizer dimension is found for a free polynilpotent group and for a free group in a variety of metabelian groups of nilpotency class at most c. Relations between ∃- and Φ-theories of groups are specified, in which case the concept of centralizer dimension plays an important role.
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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