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Sibirskii Matematicheskii Zhurnal, 2024, Volume 65, Number 6, Pages 1207–1213
DOI: https://doi.org/10.33048/smzh.2024.65.611 (Mi smj7919) 		 
Turing spectra of the automorphism groups of the order on the rationals

A. S. Morozovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2024.65.611
Abstract: We prove that the group of all $\mathbf d$-computable automorphisms of the order on the rationals has Turing degree ${\mathbf d}''$.
Keywords: computable automorphisms of the order on the rationals, Turfing degree of a structure, computable automorphisms.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF 2022--0012
The author was supported by the Ministry of Science and Higher Education of the Russian Federation (Grant FWNF 2022–0012).
Received: 22.03.2024
Revised: 29.08.2024
Accepted: 23.10.2024
English version:
Siberian Mathematical Journal, 2024, Volume 65, Issue 6, Pages 1373–1378
DOI: https://doi.org/10.1134/S0037446624060119
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: A. S. Morozov, “Turing spectra of the automorphism groups of the order on the rationals”, Sibirsk. Mat. Zh., 65:6 (2024), 1207–1213; Siberian Math. J., 65:6 (2024), 1373–1378
Citation in format AMSBIB
\Bibitem{Mor24}
\by A.~S.~Morozov
\paper Turing spectra of the automorphism groups of the order on the rationals
\jour Sibirsk. Mat. Zh.
\yr 2024
\vol 65
\issue 6
\pages 1207--1213
\mathnet{http://mi.mathnet.ru/smj7919}
\transl
\jour Siberian Math. J.
\yr 2024
\vol 65
\issue 6
\pages 1373--1378
\crossref{https://doi.org/10.1134/S0037446624060119}
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