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Mathematics of the USSR-Sbornik, 1986, Volume 54, Issue 2, Pages 367–385
DOI: https://doi.org/10.1070/SM1986v054n02ABEH002975 (Mi sm1942) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Normal subgroups of free constructions

Yu. V. Tishin
English version PDF (1158 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/SM1986v054n02ABEH002975
Abstract: In this paper the technique of group action on a tree is used to obtain solutions of the following problems. Suppose that the group $G$ is a free construction.
1. Describe the normal subgroups of $G$ not containing non-Abelian free subgroups.
2. Describe the normal subgroups $A$ and $B$ of $G$ if the mutual commutator subgroup $[A,B]$ does not contain non-Abelian free subgroups.
The results are applied to groups obtained by using a sequence of operations of taking $HNN$-extensions and forming free products with amalgamation.
Bibliography: 16 titles.
Received: 30.01.1984
Bibliographic databases:
UDC: 512.54
MSC: 20E06, 20E07
Language: English
Original paper language: Russian
Citation: Yu. V. Tishin, “Normal subgroups of free constructions”, Math. USSR-Sb., 54:2 (1986), 367–385
Citation in format AMSBIB
\Bibitem{Tis85}
\by Yu.~V.~Tishin
\paper Normal subgroups of free constructions
\jour Math. USSR-Sb.
\yr 1986
\vol 54
\issue 2
\pages 367--385
\mathnet{http://mi.mathnet.ru//eng/sm1942}
\crossref{https://doi.org/10.1070/SM1986v054n02ABEH002975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=783952}
\zmath{https://zbmath.org/?q=an:0585.20029|0575.20026}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:508
    Russian version PDF:180
    English version PDF:14
    References:46
     
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