English

Random Burnside Groups

Group Theory 2017-06-08 v2

Abstract

We show that there exists a positive number M0M_0 such that for any odd MM0M\geq M_0 a random group of exponent MM with overwhelming probability is infinite in the few relator model and in the density dd model for small dd.

Cite

@article{arxiv.1705.08060,
  title  = {Random Burnside Groups},
  author = {O. Kharlampovich and A. Myasnikov},
  journal= {arXiv preprint arXiv:1705.08060},
  year   = {2017}
}

Comments

We over-simplified the proof in the last moment and as a result the submitted text did not contain the proof