THE CO-HOPFIAN PROPERTY OF SURFACE BRAID GROUPS

Yoshikata Kida, Saeko Yamagata

Type: Article

Publication Date: 2013-08-14

Citations: 8

DOI: https://doi.org/10.1142/s0218216513500557

Abstract

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.

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Knot Theory and Its Ramifications - View

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+	Injections of the complex of separating curves into the Torelli complex	2009	Yoshikata Kida
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+	The co-Hopfian property of the Johnson kernel and the Torelli group	2009	Yoshikata Kida
+	Automorphisms of Torelli groups	2003	John D. McCarthy William R. Vautaw
+	Automorphisms of surface braid groups	2003	Elmas Irmak Nikolai V. Ivanov John D. McCarthy
+	Boundary Structure of The Modular Group	1981	W. J. Harvey
+	Automorphisms of complexes of curves on punctured spheres and on punctured tori	1999	Mustafa Korkmaz
+ PDF Chat	The Torelli geometry and its applications	2005	Benson Farb Nikolai V. Ivanov