A categorical model for the virtual braid group
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A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups [OWP-2007-02] Parker, Christopher; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-20)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.
Roggenkamp, Klaus W.; Taylor, Martin (Birkhäuser Basel, 1992)
[OWP-2011-09] Parker, Christopher; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-11)