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arXiv · 1107.5125

On non-uniformly simple groups

Hiroki Kodama
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Abstract

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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Hiroki Kodama. 2011-07-26. On non-uniformly simple groups. https://arxiv.org/abs/1107.5125

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