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Mathematics of the USSR-Izvestiya, 1984, Volume 22, Issue 2, Pages 393–398
DOI: https://doi.org/10.1070/IM1984v022n02ABEH001450 (Mi im1409) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Information pasts in groups

A. V. Safonov
English version PDF (267 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM1984v022n02ABEH001450
Abstract: A simple algebraic characterization is obtained for information pasts in amenable groups. It is proved that a subset $P$ of a countable amenable group $G$ is an information past in $G$ if and only if the set of negative elements for some linear ordering of $G$ is invariant under left translations.
Bibliography: 3 titles.
Received: 08.06.1982
Bibliographic databases:
UDC: 513.88
MSC: Primary 20F19, 28D20, 43A07; Secondary 54H15, 94A17
Language: English
Original paper language: Russian
Citation: A. V. Safonov, “Information pasts in groups”, Math. USSR-Izv., 22:2 (1984), 393–398
Citation in format AMSBIB
\Bibitem{Saf83}
\by A.~V.~Safonov
\paper Information pasts in groups
\jour Math. USSR-Izv.
\yr 1984
\vol 22
\issue 2
\pages 393--398
\mathnet{http://mi.mathnet.ru//eng/im1409}
\crossref{https://doi.org/10.1070/IM1984v022n02ABEH001450}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697304}
\zmath{https://zbmath.org/?q=an:0533.28014}
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  • https://www.mathnet.ru/eng/im/v47/i2/p421
    • This publication is cited in the following 4 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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