#### Volume 14, issue 1 (2014)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A weak Zassenhaus Lemma for discrete subgroups of $\operatorname{Diff}(I)$

### Azer Akhmedov

Algebraic & Geometric Topology 14 (2014) 539–550
##### Abstract

We prove a weaker version of the Zassenhaus Lemma for subgroups of $Diff\left(I\right)$. We also show that a group with commutator subgroup containing a non-Abelian free subsemigroup does not admit a ${C}_{0}$–discrete faithful representation in $Diff\left(I\right)$.

##### Keywords
diffeomorphism group of the interval, Zassenhaus Lemma, discrete subgroups of $\operatorname{Diff}(I)$
Primary: 37C05
Secondary: 20F65