Thread: Group Theory For Dummies View Single Post
Emeritus
PF Gold
P: 16,100
 whoa! is that true? i m not so sure. i think what you want to say here is: [x,y]=-[y,x] is a consequence of [x,x]=0, and if the field does not have characteristic 2, then [x,y]=- [y,x] implies [x,x]=0, but not in fields with characteristic 2, so we drop that as an axiom.
Yes, that's essentially what I meant to say.