SMS scnews item created by Andrew Mathas at Fri 8 Apr 2011 0937
Type: Seminar
Distribution: World
Expiry: 15 Apr 2011
Calendar1: 15 Apr 2011 1205-1255
Auth: mathas@bari.maths.usyd.edu.au

Algebra Seminar

Abelianization in braid groups

Vincent Beck

15th April, 12:05-12:55pm, Carslaw 175

 

Abstract

Let W be a complex reflection group. It is easy to define the braid group B and the pure braid group P associated to W, which are related by the exact sequence 1->P->B->W->1. In this talk, I will explain how to determine the order of the extension 1-> P/[P,P]-> B/[P,P] -> W -> 1 viewed as an element of the second cohomology group H^2(W,P/[P,P]). The main ingredient is abelianization of subgroups of reflection groups and their braid groups.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.


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