A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups

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Date

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2007-02

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Oberwolfach Preprints (OWP)

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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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Abstract

In this article we give 3-local characterizations of the alternating and symmetric groups of degree 8 and use these characterizations to recognize the sporadic simple group discovered by McLaughlin from its 3-local subgroups.

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