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 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Journal of the London Mathematical Society
Vol/bind	72
Udgave nummer	2
Sider (fra-til)	510-524
ISSN	0024-6107
Status	Udgivet - 2005

Citationsformater

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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",

note = "Keywords: math.AT; math.GT",

year = "2005",

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journal = "Journal of the London Mathematical Society",

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T1 - From mapping class groups to automorphism groups of free groups

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N1 - Keywords: math.AT; math.GT

PY - 2005

Y1 - 2005

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

SN - 0024-6107

VL - 72

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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Citationsformater