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Algebra i logika, 2007, Volume 46, Number 5, Pages 649–662 (Mi al319)  
This article is cited in 2 scientific papers (total in 2 papers)

The categoricity of the group of all computable automorphisms of the rational numbers

A. S. Morozova, J. K. Trussb

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b University of Leeds
Full-text PDF (200 kB) Citations (2)
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Abstract: We prove that there is a first-order sentence $\varphi$ such that the group of all computable automorphisms of the ordering of the rational numbers is its only model among the groups that are embeddable in the group of all computable permutations.
Keywords: group of all computable automorphisms of rational numbers, finitely axiomatizable theory, categorical theory.
Received: 27.09.2006
English version:
Algebra and Logic, 2007, Volume 46, Issue 5, Pages 354–361
DOI: https://doi.org/10.1007/s10469-007-0035-x
Bibliographic databases:
UDC: 510.53+512.54.05
Language: Russian
Citation: A. S. Morozov, J. K. Truss, “The categoricity of the group of all computable automorphisms of the rational numbers”, Algebra Logika, 46:5 (2007), 649–662; Algebra and Logic, 46:5 (2007), 354–361
Citation in format AMSBIB
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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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    Abstract page:392
    Full-text PDF :126
    References:60
    First page:4
     
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