Bulletin of the London Mathematical Society Advance Access originally published online on November 19, 2007
Bulletin of the London Mathematical Society 2007 39(6):989-992; doi:10.1112/blms/bdm075
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© 2007 London Mathematical Society
Artin's map in stable homology
Mathematical Institute
24–29 St Giles
Oxford
OX1 3LB
United Kingdom
Received 31 October 2006. Revision received 14 March 2007.
Using a recent theorem of Galatius, we identify the map on stable homology induced by Artin's injection of the braid group βn into the automorphism group of the free group Aut Fn.
2000 Mathematics Subject Classification 20F28, 20F36, 57M07.