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from mapping class groups to automorphism groups of free groups

Published online by Cambridge University Press:  04 October 2005

nathalie wahl
Affiliation:
department of mathematics, university of aarhus, ny munkegade 116, 8000 aarhus, denmarkwahl@imf.au.dk
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Abstract

it is shown that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups induces an infinite loop map on the classifying spaces of the stable groups after plus construction. the proof uses automorphisms of free groups with boundaries which play the role of mapping class groups of surfaces with several boundary components.

Type
notes and papers
Copyright
the london mathematical society 2005

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Footnotes

this work was supported by a marie curie fellowship of the european community under contract number hpmf-ct-2002-01925.

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