English

Embedding construction based on amalgamations of group relators

Group Theory 2014-06-17 v2

Abstract

An embedding construction GHG\hookrightarrow H for groups GG with a length function was introduced by the author earlier. Here we obtain new properties of this embedding, answering some questions raised by M.V. Sapir. In particular, an analog of Tits' alternative holds for the subgroups of HH.

Keywords

Cite

@article{arxiv.1406.0336,
  title  = {Embedding construction based on amalgamations of group relators},
  author = {Alexander Yu. Olshanskii},
  journal= {arXiv preprint arXiv:1406.0336},
  year   = {2014}
}

Comments

20 pages, 9 figures. extended version, added pictures, corrected typos

R2 v1 2026-06-22T04:28:19.119Z