A finitely presented group with transcendental spectral radius

التفاصيل البيبلوغرافية
العنوان: A finitely presented group with transcendental spectral radius
المؤلفون: Bodart, Corentin, Osin, Denis
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Logic
الوصف: We provide examples of groups with transcendental spectral radius. The proofs relies on links between decidability of the Word Problem and semi-computability of the spectral radius, and on classical small-cancellation theory.
Comment: Primary article by C. Bodart. Appendix "Property (RD) for C'(1/6) groups" joint with D. Osin. v2: Expended Theorem A, added Theorem B, an appendix and a few questions
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.17840
رقم الأكسشن: edsarx.2404.17840
قاعدة البيانات: arXiv