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Mathematics of the USSR-Izvestiya, 1985, Volume 25, Issue 2, Pages 259–300
DOI: https://doi.org/10.1070/IM1985v025n02ABEH001281 (Mi im1503) 		 
This article is cited in 151 scientific papers (total in 151 papers)

Degrees of growth of finitely generated groups, and the theory of invariant means

R. I. Grigorchuk
English version PDF (2161 kB) Citations (151) Russian version article
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DOI: https://doi.org/10.1070/IM1985v025n02ABEH001281
Abstract: This paper gives a negative solution to the problem of Milnor concerning the degrees of growth of groups. The construction also answers a question of Day concerning amenable groups. A number of other results are obtained on residually finite finitely generated infinite 2-groups.
Bibliography: 51 titles.
Received: 27.05.1983
Bibliographic databases:
Document Type: Article
UDC: 512
MSC: 20F05
Language: English
Original paper language: Russian
Citation: R. I. Grigorchuk, “Degrees of growth of finitely generated groups, and the theory of invariant means”, Math. USSR-Izv., 25:2 (1985), 259–300
Citation in format AMSBIB
\Bibitem{Gri84}
\by R.~I.~Grigorchuk
\paper Degrees of growth of finitely generated groups, and the theory of invariant means
\jour Math. USSR-Izv.
\yr 1985
\vol 25
\issue 2
\pages 259--300
\mathnet{http://mi.mathnet.ru/eng/im1503}
\crossref{https://doi.org/10.1070/IM1985v025n02ABEH001281}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=764305}
\zmath{https://zbmath.org/?q=an:0583.20023}
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    • This publication is cited in the following 151 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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