P.S.: I should say am actually interested in involutions of PSU and SO, but I also need the action on the natural module, so it seems more convenient to look for involutions of SU and SO. Also, I just discovered the following papers, which cover the case for PSU(4,q) and PSU(5,q), it seems -- however I have only access to the second article, thus so far I only know the solution for PSU(5,q) (funnily, we have the journal in our library starting with volume 24 -- of course the volume I need is 23 ;-).
http://www.mathnet.or.kr/mathnet/kms_content.php?no=311410 http://www.mathnet.or.kr/mathnet/kms_content.php?no=311495 Also, I was pointed at the paper "Involutions in Chevalley groups over fields of even order." by Aschbacher and Seitz, which sounds very helpful, too (assuming I can get hold of it). Thanks again for your help, Max _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum