Last steps in the classification of quasithin groups
by
Stephen D. Smith
University of Illinois at Chicago
Coauthors: Michael Aschbacher

Since 1996, Michael Aschbacher and I have been working on a new theorem classifying quasithin groups (a result announced by Mason around 1981 but never published). Our proof was written down some time ago, but the process of producing a coherent writeup has been time-consuming. As of late February 2001, we are revising the last few sections of the proof of the Main Theorem; these will soon be available on the web page indicated below.

The talk will survey some of the configurations arising in the last few chapters of our proof: for example, a new version of the theory of large extraspecial subgroups to handle certain 2-locals involving linear groups over F₂; and certain solvable subconfigurations arising in the final sections, roughly corresponding to N-groups.

http://www.math.uic.edu/~smiths/papers/quasithin/quasithin.dvi

Date received: February 27, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagg-12.