- #1
tasha10
- 7
- 0
(A) Let (G,*) be a group such that x*x=eG for all x in G. Prove G is commutative.
(B) Give a specific example of an infinite group (G,*) such that x*x=eG for all x in G.
I have not gotten very far, just to let two variable x,y be in G and I know that (x*y)*(x*y) = eG .. I'm not sure where to go from here..
(B) Give a specific example of an infinite group (G,*) such that x*x=eG for all x in G.
I have not gotten very far, just to let two variable x,y be in G and I know that (x*y)*(x*y) = eG .. I'm not sure where to go from here..