Submission date: 2 June 2014.

Abstract:

An embedding construction G --> H for groups G 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 H.

Mathematics Subject Classification: 20F05, 20F06, 20F65, 20E65, 20E07

Keywords and phrases:

Full text arXiv 1406.0336: pdf, ps.