Embeddings using universal words in the free group of rank 2 (Russian version)
Group Theory
2020-09-23 v1
Abstract
For an arbitrary countable group G = <A|R> given by its generators A and defining relations R we discuss a specific method for embedding of G into a certain 2-generator group T. Our embedding explicitly lists the images of generators from A in the group T, and from the relations R it explicitly deduces defining relations for T inheriting certain special features from R. The obtained method can be used in constructions of explicit embeddings of recursive groups into finitely presented groups.
Keywords
Cite
@article{arxiv.2009.10571,
title = {Embeddings using universal words in the free group of rank 2 (Russian version)},
author = {V. H. Mikaelian},
journal= {arXiv preprint arXiv:2009.10571},
year = {2020}
}
Comments
8 pages, in Russian