The co-Hopfian property of surface braid groups

التفاصيل البيبلوغرافية
العنوان: The co-Hopfian property of surface braid groups
المؤلفون: Kida, Yoshikata, Yamagata, Saeko
المصدر: J. Knot Theory Ramifications 22 (2013), 1350055, 46 pp
سنة النشر: 2010
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Group Theory, Mathematics - Geometric Topology, 20E36, 20F36
الوصف: Let g and n be integers at least two, and let G be the pure braid group with n strands on a closed orientable surface of genus g. We describe any injective homomorphism from a finite index subgroup of G into G. As a consequence, we show that any finite index subgroup of G is co-Hopfian.
Comment: 32 pages, 20 figures. Figures added and exposition improved
نوع الوثيقة: Working Paper
DOI: 10.1142/S0218216513500557
URL الوصول: http://arxiv.org/abs/1006.2599
رقم الأكسشن: edsarx.1006.2599
قاعدة البيانات: arXiv
الوصف
DOI:10.1142/S0218216513500557