Vol. 11, No. 1, 2010

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A new proof for the uniqueness of Lyons' simple group

Matthias Grüninger

Vol. 11 (2010), No. 1, 35–67

In this paper we will provide a new proof for the uniqueness of the Lyons group using the 5-local building-like geometry of this group discovered by Kantor.

sporadic groups, diagram geometries, buildings
Mathematical Subject Classification 2010
Primary: 20D05, 20D08, 51E24
Received: 5 November 2007
Accepted: 24 April 2009
Matthias Grüninger