تقرير
A Thompson group for the basilica
| العنوان: | A Thompson group for the basilica |
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| المؤلفون: | Belk, James, Forrest, Bradley |
| المصدر: | Group. Geom. Dynam. 9.4 (2015) 975-1000 |
| سنة النشر: | 2012 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Dynamical Systems, 20F65 (Primary) 20F38, 37F10 (Secondary) |
| الوصف: | We describe a Thompson-like group of homeomorphisms of the basilica Julia set. Each element of this group acts as a piecewise-linear homeomorphism of the unit circle that preserves the invariant lamination for the basilica. We develop an analogue of tree pair diagrams for this group which we call arc pair diagrams, and we use these diagrams to prove that the group is finitely generated. We also prove that the group is virtually simple. Comment: Published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.4171/GGD/333 |
| URL الوصول: | http://arxiv.org/abs/1201.4225 |
| رقم الأكسشن: | edsarx.1201.4225 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.4171/GGD/333 |
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