J Austral Math Soc Ser A 57 pp35--48, 1994.
(Received 18 August 1993)
This paper is an expository introduction to recent and current work on geometries associated with minimal parabolic subgroups and maximal 2-local subgroups of finite sporadic simple groups, based on lectures given by the author at the Canberra Group Actions Workshop, held at the Australian National University in June 1993.
1991 AMS Subject Classification: 51E24
Last Modified: Thu Jan 9 9:04:22 2003