From mapping class groups to automorphism groups of free groups

Nathalie Wahl

From mapping class groups to automorphism groups of free groups

Matematisk Afdeling

5 Citations (Scopus)

Abstract

We show 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.

Original language	English
Journal	Journal of the London Mathematical Society
Volume	72
Issue number	2
Pages (from-to)	510-524
ISSN	0024-6107
Publication status	Published - 2005

Cite this

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title = "From mapping class groups to automorphism groups of free groups",

abstract = "We show 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.",

author = "Nathalie Wahl",

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journal = "Journal of the London Mathematical Society",

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N2 - We show 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.

AB - We show 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.

M3 - Journal article

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SP - 510

EP - 524

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

From mapping class groups to automorphism groups of free groups

Abstract

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