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arXiv · 2405.03681

Low complexity among principal fully irreducible elements of Out($F_3$)

Naomi Andrew·Paige Hillen·Robert Alonzo Lyman·Catherine Eva Pfaff
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Abstract

We find the shortest realized stretch factor for a fully irreducible $\varphi\in\mathrm{Out}(F_3)$ and show that it is realized by a "principal" fully irreducible element. We also show that it is the only principal fully irreducible produced by a single fold in any rank.

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Naomi Andrew, Paige Hillen, Robert Alonzo Lyman, Catherine Eva Pfaff. 2024-05-06. Low complexity among principal fully irreducible elements of Out($F_3$). https://doi.org/10.2140/agt.2026.26.2157

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