Author： Morozov A.S. Buzykaeva A.N.
Publisher： Springer Publishing Company
ISSN： 0037-4466
Source： Siberian Mathematical Journal, Vol.43, Iss.1, 2002-01, pp. : 124-127
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Abstract
A complete description is provided for the groups bigoplus limits _{i in I} Z_{p_i} that can be realized as groups of all computable automorphisms for appropriate computable models. We introduce a three-level classification of isomorphism types of groups of computable automorphisms by the possible arithmetical complexity of their orbits and prove this classification to be nontrivial.
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