- #1
Justabeginner
- 309
- 1
Homework Statement
Let G be a group, A = G * G. In A, Let T = {(g, g)|g ε G}. Prove that T is isomorphic to G.
Homework Equations
The Attempt at a Solution
A is abelian. Therefore, G * G is abelian. T is a subgroup of G.
I am not sure if my above inferences are even correct. Can someone guide me as to the thought process on this please? Thank you.