Report
On polynomial free-by-cyclic groups
| العنوان: | On polynomial free-by-cyclic groups |
|---|---|
| المؤلفون: | Mutanguha, Jean Pierre |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F65, 20E05, 20E36, 20E08 |
| الوصف: | A free-by-cyclic group can often be viewed as a mapping torus of a free group automorphism (monodromy) in multiple ways. What dynamical properties must these monodromies share, and to what extent are they invariant under quasi-isometries? We give a new proof using cyclic splittings that the growth type of a monodromy is a geometric invariant of the free-by-cyclic group; we also characterise the degree of polynomial growth using slender splittings. For exponential growth, we conjecture that the nesting of attracting laminations is a geometric invariant. Comment: 20 pages, comments demanded |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2412.16150 |
| رقم الانضمام: | edsarx.2412.16150 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |