Random outer automorphisms of free groups: Attracting trees and their singularity structures
| العنوان: | Random outer automorphisms of free groups: Attracting trees and their singularity structures |
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| المؤلفون: | Joseph Maher, Samuel J. Taylor, Catherine Pfaff, Ilya Kapovich |
| المصدر: | Transactions of the American Mathematical Society. 375:525-557 |
| بيانات النشر: | American Mathematical Society (AMS), 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Ideal (set theory), Applied Mathematics, General Mathematics, 010102 general mathematics, Outer automorphism group, Geometric Topology (math.GT), Group Theory (math.GR), 16. Peace & justice, Random walk, Automorphism, 01 natural sciences, Tree (graph theory), Combinatorics, Mathematics - Geometric Topology, Primary 20F65, Secondary 57M, 37B, 37D, Singularity, Free group, FOS: Mathematics, 0101 mathematics, Mathematics - Group Theory, Branch point, Mathematics |
| الوصف: | We prove that a "random" free group outer automorphism is an ageometric fully irreducible outer automorphism whose ideal Whitehead graph is a union of triangles. In particular, we show that its attracting (and repelling) tree is a nongeometric $\mathbb R$-tree all of whose branch points are trivalent Comment: 27 pages comments are welcome! |
| تدمد: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/8472 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::247b082e273a8adeee752a98299ef3d8 https://doi.org/10.1090/tran/8472 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....247b082e273a8adeee752a98299ef3d8 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10886850 00029947 |
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| DOI: | 10.1090/tran/8472 |