Email this article On maximal subgroups of the group of recursive permutations
- Authors: Kolmakov E.A.1, Marchenkov S.S.1
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Affiliations:
- Department of Computational Mathematics and Cybernetics
- Issue: Vol 40, No 3 (2016)
- Pages: 128-132
- Section: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176143
- DOI: https://doi.org/10.3103/S027864191603002X
- ID: 176143
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Abstract
The group GR of all permutations belonging to R is considered for any partially recursively closed class of functions R. It is proved that the group GR has a continuum number of maximal subgroups. Examples of constructive maximal subgroups of GR are given.
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About the authors
E. A. Kolmakov
Department of Computational Mathematics and Cybernetics
Author for correspondence.
Email: kolmakov-ea@yandex.ru
Russian Federation, Moscow, 119991
S. S. Marchenkov
Department of Computational Mathematics and Cybernetics
Email: kolmakov-ea@yandex.ru
Russian Federation, Moscow, 119991
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