lorena82186
Junior Member
USA
4 Posts 
Posted  10/16/2007 : 05:07:52

If G, G are two groups and G = G G = {(a,b) such that a G, b G}, where we define (a,b)(c,d) = (ac, bd), show that:
(a) Show that N = {(a, e) such that a G}, where e is the unit element of G, is a normal subgroup of G..... I have already done this.
(b) Show that N is isomorphic to G.
(c) Show that G/N is isomorphic to G.
I did (a) but help with (b) and (c) would be great! 

