RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra Logika, 2019, Volume 58, Number 3, Pages 397–416 (Mi al903)  
Universal theories and centralizer dimensions of groups

E. I. Timoshenko

Novosibirsk State Technical University

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 $\exists$- and $\Phi$-theories of groups are specified, in which case the concept of centralizer dimension plays an important role.

Keywords: polynilpotent group, free group, variety of metabelian groups, centralizer dimension, $\exists$-theories of groups, $\Phi$-theories of groups.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-01-00100_а


DOI: https://doi.org/10.33048/alglog.2019.58.308

Full text: PDF file (262 kB)
First page: PDF file
References: PDF file   HTML file

UDC: 512.5
Received: 10.03.2018
Revised: 24.09.2019

Citation: E. I. Timoshenko, “Universal theories and centralizer dimensions of groups”, Algebra Logika, 58:3 (2019), 397–416

Citation in format AMSBIB
\Bibitem{Tim19}
\by E.~I.~Timoshenko
\paper Universal theories and centralizer dimensions of groups
\jour Algebra Logika
\yr 2019
\vol 58
\issue 3
\pages 397--416
\mathnet{http://mi.mathnet.ru/al903}
\crossref{https://doi.org/10.33048/alglog.2019.58.308}


Linking options:
  • http://mi.mathnet.ru/eng/al903
  • http://mi.mathnet.ru/eng/al/v58/i3/p397

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    		• Алгебра и логика Algebra and Logic
    Number of views:
    This page:71
    References:6
    First page:2
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021