Open Access
October, 2011 Commensurators of surface braid groups
Yoshikata KIDA, Saeko YAMAGATA
J. Math. Soc. Japan 63(4): 1391-1435 (October, 2011). DOI: 10.2969/jmsj/06341391


We prove that if g and n are integers at least two, then the abstract commensurator of the braid group with n strands on a closed orientable surface of genus g is naturally isomorphic to the extended mapping class group of a compact orientable surface of genus g with n boundary components.


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Yoshikata KIDA. Saeko YAMAGATA. "Commensurators of surface braid groups." J. Math. Soc. Japan 63 (4) 1391 - 1435, October, 2011.


Published: October, 2011
First available in Project Euclid: 27 October 2011

zbMATH: 1245.20041
MathSciNet: MR2855817
Digital Object Identifier: 10.2969/jmsj/06341391

Primary: 20F34
Secondary: 20E36 , 20F36

Keywords: mapping class groups , surface braid groups

Rights: Copyright © 2011 Mathematical Society of Japan

Vol.63 • No. 4 • October, 2011
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