Low complexity among principal fully irreducible elements of Out(F3)

Algebraic & Geometric Topology 2026 Open access

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Authors: Naomi Andrew, Paige Hillen, Rylee Alanza Lyman, Catherine Pfaff
DOI: 10.2140/agt.2026.26.2157
Cited by: 0

Abstract

We find the shortest realized stretch factor for a fully irreducible ' 2 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 outer automorphism in any rank produced by a single fold.

Fields of Study & Subjects

Coding theory and cryptography graph theory and CDMA systems Finite Group Theory Research

Publication details

Journal / source
Algebraic & Geometric Topology
Volume
26
Issue
6
Pages
2157–2180
Publication date
22 June 2026
Language
EN