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That last K should be H...sorry.
Tonio, thank you for the hint, that was just the nudge in the right
direction that I needed. And after completing the proof and reading a
bit more about the Frattini Argument, I agree that this is a very
elegant proof with some important consequences. Thanks again.
On Oct 31, 8:30 am, magi...@xxxxxxxxxxxxxxxxx (Arturo Magidin) wrote:
> In article <1162262985.264650.42...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
>
> practice <thepracticesp...@xxxxxxxxx> wrote:
> >Can anyone help?
>
> >H is a normal subgroup of G, for G finite. A prime p divides the order
> >of H, let P be a Sylow p-subgroup of K.What is K?
>
> > Show that G = H*N_G(P) where
> >N_G(P) is thenormalizerof P in G.What is K?
>
> --
> ======================================================================
> "It's not denial. I'm just very selective about
> what I accept as reality."
> --- Calvin ("Calvin and Hobbes" by Bill Watterson)
> ======================================================================
>
> Arturo Magidin
> magidin-at-member-ams-org
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