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Algebra i logika, 2002, Volume 41, Number 4, Pages 459–480 (Mi al192)  
This article is cited in 2 scientific papers (total in 2 papers)

Presentability of Groups of $\Sigma$-Definable Permutations over Admissible Sets

A. S. Morozov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (1860 kB) Citations (2)
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Abstract: It is proved that a group of all $\Sigma$-permutations of an arbitrary locally countable, recursively listed, admissible set is not $\Sigma$-presentable over that set. An example is constructed showing that this group can be presentable provided that the condition of being locally countable is dropped.
Keywords: group, $\Sigma$-definable (-presentable) permutation, $\Sigma$-definability, locally countable, recursively listed, admissible set.
Received: 25.10.2000
English version:
Algebra and Logic, 2002, Volume 41, Issue 4, Pages 254–266
DOI: https://doi.org/10.1023/A:1020108705365
Bibliographic databases:
UDC: 510.56
Language: Russian
Citation: A. S. Morozov, “Presentability of Groups of $\Sigma$-Definable Permutations over Admissible Sets”, Algebra Logika, 41:4 (2002), 459–480; Algebra and Logic, 41:4 (2002), 254–266
Citation in format AMSBIB
\Bibitem{Mor02}
\by A.~S.~Morozov
\paper Presentability of~Groups of $\Sigma$-Definable Permutations over Admissible Sets
\jour Algebra Logika
\yr 2002
\vol 41
\issue 4
\pages 459--480
\mathnet{http://mi.mathnet.ru/al192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1950576}
\zmath{https://zbmath.org/?q=an:1016.03042}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 4
\pages 254--266
\crossref{https://doi.org/10.1023/A:1020108705365}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249115880}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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