It's totally cool, Tom. Does anyone think they can give me a push in the right direction on how to find the order of the 2-Sylow Subgroup? I understand what Tom said about why it can't be 45, but I'm not sure how to figure out the other ones.
If \nu_{2} = 15 then there would be fifteen...
Tom, do you think we could see your proof to show the existence of a group of order 45, because Steinberger was telling us that it's a really important thing to prove.
Our Professor told us to "ask anyone" about the question or for any help. I'm going to look at the 2-subgroups...I don't think I'll personally be able to figure it out, but I do appreciate your effort, StatusX, helping us with the problem.
I think right about now this is the method I'm going to try to solve the problem. Thanks everyone for their help so far. Even if I'm not going to use a method someone posted, it's really nice to see how people would solve it, and the devotion people have to helping everyone else.
Okay sounds awesome, I'm going to go ahead and go through StatusX's proof and make sense of it and write it down - if I run into any more issues, I'll be sure to post again. :)
So does this mean you've found a way to solve the proof? If so, do you think you could give some more info to me? I can't get any further than what I stated in my other post.
I'm in this class with Tom and our other classmate Stan and I are pretty much at this same point in the proof. We're having a very difficult time figuring out how to find the subgroup of order 45. All we've found is the amount of elements in the 6 Sylow subgroups (24) and the amount of...