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

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 i logika, 2004, Volume 43, Number 3, Pages 341–352 (Mi al74)  

This article is cited in 10 scientific papers (total in 10 papers)

Metabelian Products of Groups

V. N. Remeslennikov, N. S. Romanovskiia

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: We prove a number of facts on metabelian products of metabelian groups, useful in algebraic geometry over groups. Namely, for a metabelian product of arbitrary metabelian groups, we look at the structure of a derived subgroup, and the Fitting radical; find criteria determining when a metabelian product of $u$-groups is again a $u$-group; and specify conditions under which a metabelian product of metabelian groups is a strong semidomain.
Keywords: metabelian group, metabelian product, $u$-group, derived subgroup, Fitting radical, strong semidomain.
Received: 03.03.2003
English version:
Algebra and Logic, 2004, Volume 43, Issue 3, Pages 190–197
DOI: https://doi.org/10.1023/B:ALLO.0000028932.26405.a9
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: V. N. Remeslennikov, N. S. Romanovskii, “Metabelian Products of Groups”, Algebra Logika, 43:3 (2004), 341–352; Algebra and Logic, 43:3 (2004), 190–197
Citation in format AMSBIB
\Bibitem{RemRom04}
\by V.~N.~Remeslennikov, N.~S.~Romanovskii
\paper Metabelian Products of Groups
\jour Algebra Logika
\yr 2004
\vol 43
\issue 3
\pages 341--352
\mathnet{http://mi.mathnet.ru/al74}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084040}
\zmath{https://zbmath.org/?q=an:1058.20028}
\elib{https://elibrary.ru/item.asp?id=9127550}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 3
\pages 190--197
\crossref{https://doi.org/10.1023/B:ALLO.0000028932.26405.a9}
\elib{https://elibrary.ru/item.asp?id=14165448}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846605291}
Linking options:
  • https://www.mathnet.ru/eng/al74
  • https://www.mathnet.ru/eng/al/v43/i3/p341
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:439
    Full-text PDF :114
    References:62
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024