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SUMMARY:Revisiting the classification of the finite simple group - Steve S
 mith (UIC and Oxford)
DTSTART:20090211T163000Z
DTEND:20090211T173000Z
UID:TALK16458@talks.cam.ac.uk
CONTACT:Jan Saxl
DESCRIPTION:Years ago Daniel Gorenstein began a project for giving an outl
 in of the ("original") proof of the classification of the finite simple gr
 oups---\npublishing in 1982 a general introduction\, and in 1983 \nan outl
 ine of the classification of groups of non-characteristic 2 type.\n\nBut h
 e could not outline the characteristic 2 type case\,\nin view of the non-p
 ublication of Mason's expected treatment of the quasithin groups.  \nThis 
 gap was finally filled by the Aschbacher-Smith \nvolumes published in 2004
 .  In particular\nthis cleared the way for completing Gorenstein's project
 .\n\nThe talk will describe such a work in progress (status: first draft c
 ompleted) by Aschbacher\, Lyons\, Smith\, and Solomon.\n\nThe discussion w
 ill be expository\, indicating some underlying principles (a few of which 
 have been emerging in retrospect).\nThere will be some mention of improvem
 ents since the\noriginal proof\, and later/future possible alternative app
 roaches.\n
LOCATION:MR12
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