Hello!(adsbygoogle = window.adsbygoogle || []).push({});

For the life of me, I can't seem to figure this out (vapor lock in the ol' brain):

Show that if G has only 1 p-Sylow subgroup, then it must be normal.

I know it something to do with showing it's a conjugate to itself (right coset = left coset?). I'm just not quite sure how to go about showing this.

Thanks for your time, help, and patience with me.

dogma

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Sylow Question

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**