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Automorphisms of symmetric groups are toy examples for mapping class groups

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Abstract We give a new proof establishing the automorphism groups of the symmetric groups inspired by the analogous result of Ivanov for the extended mapping class group. As a key… Click to show full abstract

Abstract We give a new proof establishing the automorphism groups of the symmetric groups inspired by the analogous result of Ivanov for the extended mapping class group. As a key tool, we consider the actions on the Kneser graphs.

Keywords: toy examples; mapping class; automorphisms symmetric; symmetric groups; groups toy

Journal Title: Expositiones Mathematicae
Year Published: 2021

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