Degrees of isomorphism types and countably categorical groups

Archive for Mathematical Logic 51 (1-2):93-98 (2012)
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Abstract

It is shown that for every Turing degree d there is an ω-categorical group G such that the isomorphism type of G is of degree d. We also find an ω-categorical group G such that the isomorphism type of G has no degree.

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Degrees of structures.Linda Jean Richter - 1981 - Journal of Symbolic Logic 46 (4):723-731.

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