تقرير
Boone--Higman Embeddings for Contracting Self-Similar Groups
العنوان: | Boone--Higman Embeddings for Contracting Self-Similar Groups |
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المؤلفون: | Belk, James, Matucci, Francesco |
سنة النشر: | 2024 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Group Theory, 20F65, 20E32, 20F10 |
الوصف: | We give a short proof that every contracting self-similar group embeds into a finitely presented simple group. In particular, any contracting self-similar group embeds into the corresponding R\"over--Nekrashevych group, and this in turn embeds into one of the twisted Brin--Thompson groups introduced by the first author and Matthew Zaremsky. The proof here is a simplification of a more general argument given by the authors, Collin Bleak, and Matthew Zaremsky for contracting rational similarity groups. Comment: 6 page, no figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2405.10234 |
رقم الأكسشن: | edsarx.2405.10234 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |