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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 2, Pages 233–277
DOI: https://doi.org/10.1070/IM1987v029n02ABEH000969 (Mi im1540) 		 
This article is cited in 9 scientific papers (total in 9 papers)

A finitely generated complete group

V. S. Guba
English version PDF (2725 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM1987v029n02ABEH000969
Abstract: An example of a $2$-generated complete group (different from the identity) with unique extraction of roots is constructed. An example is indicated, in passing, of a noncyclic $2$-generated group in which every element is conjugate to some power of a fixed element. It is proved that there are continuum many nonisomorphic such examples. The proof is based on a method developed in several papers of A. Yu. Ol'shanskii.
Bibliography: 8 titles.
Received: 19.04.1984
Bibliographic databases:
UDC: 512.543
MSC: 20F05
Language: English
Original paper language: Russian
Citation: V. S. Guba, “A finitely generated complete group”, Math. USSR-Izv., 29:2 (1987), 233–277
Citation in format AMSBIB
\Bibitem{Gub86}
\by V.~S.~Guba
\paper A~finitely generated complete group
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 2
\pages 233--277
\mathnet{http://mi.mathnet.ru//eng/im1540}
\crossref{https://doi.org/10.1070/IM1987v029n02ABEH000969}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=873654}
\zmath{https://zbmath.org/?q=an:0631.20025}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:511
    Russian version PDF:179
    English version PDF:42
    References:70
    First page:1
     
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