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Mathematics of the USSR-Sbornik, 1971, Volume 14, Issue 4, Pages 501–524
DOI: https://doi.org/10.1070/SM1971v014n04ABEH002817
(Mi sm3270)
 

This article is cited in 2 scientific papers (total in 2 papers)

Verbal products of Magnus groups

D. I. Èidel'kind
References:
Abstract: A Magnus group is a group in which the intersection of the lower central series is trivial and its factors are torsion free.
The main result of the paper is the following theorem.
Theorem. If $\mathfrak B$ is the variety of all nilpotent groups of a certain class or the variety of all metabelian groups, or their intersection, and if free groups of $\mathfrak B$ and of $\mathfrak U\mathfrak B$ are Magnus groups, then the $\mathfrak U\mathfrak B$-product of any Magnus $\mathfrak B$-groups is a Magnus group.
Bibliography: 18 titles.
Received: 21.04.1970
Bibliographic databases:
UDC: 519.41/47
MSC: Primary 20E10; Secondary 20E25
Language: English
Original paper language: Russian
Citation: D. I. Èidel'kind, “Verbal products of Magnus groups”, Math. USSR-Sb., 14:4 (1971), 501–524
Citation in format AMSBIB
\Bibitem{Eid71}
\by D.~I.~\`Eidel'kind
\paper Verbal products of Magnus groups
\jour Math. USSR-Sb.
\yr 1971
\vol 14
\issue 4
\pages 501--524
\mathnet{http://mi.mathnet.ru//eng/sm3270}
\crossref{https://doi.org/10.1070/SM1971v014n04ABEH002817}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=296170}
\zmath{https://zbmath.org/?q=an:0248.20034}
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  • https://doi.org/10.1070/SM1971v014n04ABEH002817
  • https://www.mathnet.ru/eng/sm/v127/i4/p504
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
     
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