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

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OWP2007_02.pdf(390.98 KB)
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2007
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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
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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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https://doi.org/10.34657/1771
 https://oa.tib.eu/renate/handle/123456789/1902
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Parker, C., & Rowley, P. (2007). A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups (Version publishedVersion, Vol. 2007-02). Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach. https://doi.org//10.14760/OWP-2007-02
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