The Higman operations and embeddings of recursive groups

Autor:	Mikaelian, V. H.
Rok vydání:	2020
Předmět:	Mathematics - Group Theory 20E22 20E10 20K01 20K25 20D15
Druh dokumentu:	Working Paper
Popis:	In the context of Higman embeddings of recursive groups into finitely presented groups we suggest an algorithm which uses Higman operations to explicitly constructs the specific recursively enumerable sets of integer sequences arising during the embeddings. This makes the constructive Higman embedding a doable task for certain wide classes of groups. 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 is mentioned.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.09728 Zobrazit plný text záznamu View this record from Arxiv