تقرير
Rearrangement groups of fractals
| العنوان: | Rearrangement groups of fractals |
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| المؤلفون: | Belk, James, Forrest, Bradley |
| المصدر: | Transactions of the American Mathematical Society 372.7 (2019): 4509-4552 |
| سنة النشر: | 2015 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F65 (Primary), 20F38, 28A80 (Secondary) |
| الوصف: | We construct rearrangement groups for edge replacement systems, an infinite class of groups that generalize Richard Thompson's groups F, T, and V . Rearrangement groups act by piecewise-defined homeomorphisms on many self-similar topological spaces, among them the Vicsek fractal and many Julia sets. We show that every rearrangement group acts properly on a locally finite CAT(0) cubical complex, and we use this action to prove that certain rearrangement groups are of type F infinity. Comment: Published version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1090/tran/7386 |
| URL الوصول: | http://arxiv.org/abs/1510.03133 |
| رقم الأكسشن: | edsarx.1510.03133 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1090/tran/7386 |
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