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

View/ Open
Date
2007-03-20MFO Scientific Program
Research in Pairs 2006Series
Oberwolfach Preprints;2007,02Author
Parker, Christopher
Rowley, Peter
Metadata
Show full item recordOWP-2007-02
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.