On non-uniformly simple groups

Details On non-uniformly simple groups On non-uniformly simple groups

2011-07-26

arxiv.org/abs/1107.5125v1

Mathematics

Group Theory

Scientific paper

Suppose $G$ is a simple group. For any nontrivial elements $g$ and $h$, $g$
can be written as a finite product of conjugates of $h$ or the inverse of $h$.
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.

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