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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 663–672 (Mi smj995)  
This article is cited in 1 scientific paper (total in 1 paper)

Subcubic growth of the averaged Dehn function for a class 2 nilpotent group

V. A. Roman'kov

Omsk State University
Full-text PDF (226 kB) Citations (1)
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Abstract: We show that the averaged Dehn function with respect to each finite presentation of an arbitrary finitely generated class 2 nilpotent group is subcubic. For the finite rank $\geqslant2$ free class 2 nilpotent group this implies the subasymptoticity of the averaged Dehn function in the sense of M. Gromov, confirming his conjecture.
Keywords: nilpotent group, finitely presented group, Cayley graph, Dehn function, averaged Dehn function.
Received: 11.10.2003
Revised: 25.03.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 527–534
DOI: https://doi.org/10.1007/s11202-005-0054-6
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. A. Roman'kov, “Subcubic growth of the averaged Dehn function for a class 2 nilpotent group”, Sibirsk. Mat. Zh., 46:3 (2005), 663–672; Siberian Math. J., 46:3 (2005), 527–534
Citation in format AMSBIB
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\by V.~A.~Roman'kov
\paper Subcubic growth of the averaged Dehn function for a class~2 nilpotent group
\jour Sibirsk. Mat. Zh.
\yr 2005
\vol 46
\issue 3
\pages 663--672
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\zmath{https://zbmath.org/?q=an:1079.20048}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 527--534
\crossref{https://doi.org/10.1007/s11202-005-0054-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200015}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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