The Higman operations and embeddings of recursive groups
Abstract: In the context of Higman embeddings of recursive groups into finitely presented groups, we suggest an approach, termed the -machine, which for certain wide classes of groups allows constructive Higman embeddings of recursive groups into finitely presented groups. The approach is based on Higman operations, and it explicitly constructs some specific recursively enumerable sets of integer sequences arising during the embeddings. Specific auxiliary operations are introduced to make the work with Higman operations a simpler and more intuitive procedure. Also, an automated mechanism of constructive embeddings of countable groups into 2-generator groups preserving certain “patterns” is mentioned.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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The Higman operations and embeddings of recursive groups ; volume:26 ; number:6 ; year:2023 ; pages:1067-1093 ; extent:27
Journal of group theory ; 26, Heft 6 (2023), 1067-1093 (gesamt 27)
- Creator
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Mikaelian, Vahagn H.
- DOI
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10.1515/jgth-2021-0095
- URN
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urn:nbn:de:101:1-2023110314115083479315
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
- 14.08.2025, 11:02 AM CEST
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Associated
- Mikaelian, Vahagn H.
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