English

A weak Zassenhaus lemma for discrete subgroups of Diff(I)

Group Theory 2013-10-03 v2 Dynamical Systems

Abstract

We prove a weaker version of Zassenhaus Lemma (also known as Margulis Lemma) for subgroups of Diff(I). We also show that a group with commutator subgroup containing a free subsemigroup does not admit a C_0-discrete faithful representation in Diff(I).

Keywords

Cite

@article{arxiv.1211.1086,
  title  = {A weak Zassenhaus lemma for discrete subgroups of Diff(I)},
  author = {Azer Akhmedov},
  journal= {arXiv preprint arXiv:1211.1086},
  year   = {2013}
}

Comments

Several presentational changes made. (by the suggestions of the referees)