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Group \(Aut_ r<Q,\leq >\) is not constructivizable - MaRDI portal

Group \(Aut_ r<Q,\leq >\) is not constructivizable (Q1062975)

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scientific article; zbMATH DE number 3916247
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Group \(Aut_ r<Q,\leq >\) is not constructivizable
scientific article; zbMATH DE number 3916247

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    Group \(Aut_ r<Q,\leq >\) is not constructivizable (English)
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    1984
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    In this article we prove that the group of all recursive permutations of the set of rational numbers which preserve the natural order is not constructivizable; this provides an answer to a well-known question formulated at the 600th Seminar Conference of ''Algebra i Logika'' (Problem Day) at Novosibirsk State University and the Institute of Mathematics of the Siberian Branch of the Academy of Sciences of the USSR.
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    group of all recursive permutations of the set of rational numbers
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    natural order
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