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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 231, Pages 332–355 (Mi tm522)  
This article is cited in 2 scientific papers (total in 2 papers)

Problem of Intermediate Relative Growth of Subgroups in Solvable and Linear Groups

D. V. Osin

M. V. Lomonosov Moscow State University
Full-text PDF (329 kB) Citations (2)
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Abstract: The following problem formulated in [16] is considered: Is it true that the relative growth of any subgroup of a solvable or linear group is either polynomial or exponential? In the general case, a negative answer is obtained for both classes of groups. Certain positive results are also presented.
Received in December 1999
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: D. V. Osin, “Problem of Intermediate Relative Growth of Subgroups in Solvable and Linear Groups”, Dynamical systems, automata, and infinite groups, Collected papers, Trudy Mat. Inst. Steklova, 231, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 332–355; Proc. Steklov Inst. Math., 231 (2000), 316–338
Citation in format AMSBIB
\Bibitem{Osi00}
\by D.~V.~Osin
\paper Problem of Intermediate Relative Growth of Subgroups in Solvable and Linear Groups
\inbook Dynamical systems, automata, and infinite groups
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 231
\pages 332--355
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm522}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1841762}
\zmath{https://zbmath.org/?q=an:1012.20029}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 231
\pages 316--338
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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