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Artin's map in stable homology
Author(s) -
Tillmann Ulrike
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm075
Subject(s) - mathematics , braid group , homology (biology) , outer automorphism group , artin group , automorphism , combinatorics , automorphism group , braid , pure mathematics , genetics , biology , coxeter group , geography , archaeology , gene
Using a recent theorem of Galatius, we identify the map on stable homology induced by Artin's injection of the braid group β n into the automorphism group of the free group Aut F n .
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