Title: On bounded simplicity of groups of geometric and combinatorial origin
Date: Tuesday 12th May 2015
A group $G$ is simple if, for any elements $f,g\in G$
with $g\neq 1$, $f$ is a product of finitely many conjugates of $g$.
If this finite number is bounded by $N$ (independently on $f$ and $g$)
we call $G$ $N$-boundedly simple.
We will show that many groups (known to be simple) acting on a line
or a circle, such as various Thompson, Higmann-Thompson, or Neretin
groups, are $N$-boundedly simple with explicit bound for $N$.
Presented results are a joint work with Światosław R. Gal from