On non-uniformly simple groups
Group Theory
2011-07-27 v1
Abstract
Suppose is a simple group. For any nontrivial elements and , can be written as a finite product of conjugates of or the inverse of . G is called uniformly simple if the length of such an expression is uniformly bounded. We show that the infinite alternating group is non-uniformly simple and evaluate how the length of such an expression is unbounded.
Cite
@article{arxiv.1107.5125,
title = {On non-uniformly simple groups},
author = {Hiroki Kodama},
journal= {arXiv preprint arXiv:1107.5125},
year = {2011}
}