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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
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)
- Urheber
-
Mikaelian, Vahagn H.
- DOI
-
10.1515/jgth-2021-0095
- URN
-
urn:nbn:de:101:1-2023110314115083479315
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
14.08.2025, 11:02 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Mikaelian, Vahagn H.
Ähnliche Objekte (12)
Effective operations and partial recursive functionals
Partial recursive functionals and effective operations
Recursive and Computable Operations over Topological Structures
Embeddings of groups rings and L2-invariants
Embeddings of Automorphism Groups of Free Groups into Automorphism Groups of Affine Algebraic Varieties
Model-theoretic invariants: Apllications to recursive and hyperarithmetic operations
REPRESENTATIONS OF THE FINITE GROUPS BY SYMMETRY GROUPS OF OPERATIONS
Embeddings of trees, cantor sets and solvable Baumslag–Solitar groups
Monster embeddings of certain 3-transposition groups via Majorana representations
EMBEDDINGS OF TOPOLOGICAL SEMIGROUPS IN TOPOLOGICAL GROUPS AND SEMIGROUP-VALUED MEASURES
Recursive Functions
Metric embeddings : bilipschitz and coarse embeddings into Banach spaces
Effective operations and partial recursive functionals
Partial recursive functionals and effective operations
Recursive and Computable Operations over Topological Structures
Embeddings of groups rings and L2-invariants
Embeddings of Automorphism Groups of Free Groups into Automorphism Groups of Affine Algebraic Varieties
Model-theoretic invariants: Apllications to recursive and hyperarithmetic operations
REPRESENTATIONS OF THE FINITE GROUPS BY SYMMETRY GROUPS OF OPERATIONS
Embeddings of trees, cantor sets and solvable Baumslag–Solitar groups
Monster embeddings of certain 3-transposition groups via Majorana representations
EMBEDDINGS OF TOPOLOGICAL SEMIGROUPS IN TOPOLOGICAL GROUPS AND SEMIGROUP-VALUED MEASURES
Recursive Functions
Metric embeddings : bilipschitz and coarse embeddings into Banach spaces
Effective operations and partial recursive functionals
Partial recursive functionals and effective operations
Recursive and Computable Operations over Topological Structures
Embeddings of groups rings and L2-invariants
Embeddings of Automorphism Groups of Free Groups into Automorphism Groups of Affine Algebraic Varieties
Model-theoretic invariants: Apllications to recursive and hyperarithmetic operations
REPRESENTATIONS OF THE FINITE GROUPS BY SYMMETRY GROUPS OF OPERATIONS
Embeddings of trees, cantor sets and solvable Baumslag–Solitar groups
Monster embeddings of certain 3-transposition groups via Majorana representations
EMBEDDINGS OF TOPOLOGICAL SEMIGROUPS IN TOPOLOGICAL GROUPS AND SEMIGROUP-VALUED MEASURES
Recursive Functions