Simple groups that are maximal subgroups of G.

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 ?

Re: Simple groups that are maximal subgroups of G.

Quote:

Originally Posted by

**ENRIQUESTEFANINI** 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

?

Well, no, because is simple. If and then ...

Re: Simple groups that are maximal subgroups of G.

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.