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Mathematics of the USSR-Sbornik, 1980, Volume 37, Issue 2, Pages 245–259
DOI: https://doi.org/10.1070/SM1980v037n02ABEH001952 (Mi sm2375) 		 
Lattice motions of the Euclidean plane

V. M. Maksimov
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DOI: https://doi.org/10.1070/SM1980v037n02ABEH001952
Abstract: The idea of lattice motions of the plane is introduced; these motions arise quite naturally from the point of view of probability. A complete description of such motions is given, from which follows their close connection with quadratic extensions of the field of rational numbers.
Bibliography: 7 titles.
Received: 31.08.1977 and 04.01.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 109(151), Number 2(6), Pages 275–290
Bibliographic databases:
UDC: 519.2+513.738
MSC: Primary 51M05; Secondary 60A10
Language: English
Original paper language: Russian
Citation: V. M. Maksimov, “Lattice motions of the Euclidean plane”, Mat. Sb. (N.S.), 109(151):2(6) (1979), 275–290; Math. USSR-Sb., 37:2 (1980), 245–259
Citation in format AMSBIB
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\by V.~M.~Maksimov
\paper Lattice motions of the Euclidean plane
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 109(151)
\issue 2(6)
\pages 275--290
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=542561}
\zmath{https://zbmath.org/?q=an:0461.60013|0409.60015}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 37
\issue 2
\pages 245--259
\crossref{https://doi.org/10.1070/SM1980v037n02ABEH001952}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KQ02900006}
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  • https://www.mathnet.ru/eng/sm/v151/i2/p275
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    Abstract page:262
    Russian version PDF:89
    English version PDF:15
    References:40
     
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