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

Autor: Andrew, Naomi, Hillen, Paige, Lyman, Rylee Alanza, Pfaff, Catherine
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 19 pages, one large and many small diagrams, comments welcome!
Databáze: arXiv