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

التفاصيل البيبلوغرافية
العنوان: Low complexity among principal fully irreducible elements of Out($F_3$)
المؤلفون: Andrew, Naomi, Hillen, Paige, Lyman, Rylee Alanza, Pfaff, Catherine
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, 20E05 (Primary) 20E36, 20F28, 20F65 (Secondary)
الوصف: 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!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2405.03681
رقم الأكسشن: edsarx.2405.03681
قاعدة البيانات: arXiv