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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 342–351 (Mi smj2087)  
Some constructions on the class of groups of computable automorphisms

P. A. Kulikov

Novosibirsk State University, Mechanics and Mathematics Department, Novosibirsk
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Abstract: We show that the computable inverse limit of a computable family of computable groups, the computable wreath product of a group of computable automorphisms and a computable group, as well as the commutant and center of every computable group can be realized as groups of computable automorphisms of suitable computable models.
Keywords: group of computable automorphisms of a computable model, computable group.
Received: 21.02.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 277–285
DOI: https://doi.org/10.1007/s11202-010-0027-2
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: P. A. Kulikov, “Some constructions on the class of groups of computable automorphisms”, Sibirsk. Mat. Zh., 51:2 (2010), 342–351; Siberian Math. J., 51:2 (2010), 277–285
Citation in format AMSBIB
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