Hi:
I'll make a straightforward question: Let be group and , these groups satisfying the following conditions:
(a) .
(b) is simple.
(c) is a maximal subgroup of .
Is there any other piece of information that can be deduced from these three facts? In particular, can I infer ?
That's a pity, because I'm in the process of solving a problem, half of which, it seems, I have already solved, and I thought I could extract aditional info from those facts. About the problem it would be unfair to speak because I've already posted in MHF stating its hypothesis (and the propositions I have arrived at up to now). Thanks for your reply.