Boone--Higman Embeddings for Contracting Self-Similar Groups

التفاصيل البيبلوغرافية
العنوان: Boone--Higman Embeddings for Contracting Self-Similar Groups
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