onsider this group of six matrices:
Let G = <{I, A,B,C,D,K}, Matrix Multiplication>
I = A = B =
C = D = K =
Operation Table for this group:
_I A B C D K
I I A B C D K
AA I C B K D
BB K D A I C
CC D K I A B
DD C I K B A
KK B A D C I
Define f: G > <R*, > by y f(x) = det(x) for any Matrix x G.
Question:
Complete the coset multiplication table for G/N (N being the Ker(f)) and Im(G) (a subgroup of <R*, MATH]\bullet[/tex]>
G/N:
________



Image(G):
__________



I got {I, B, D} for the Ker{f} (If that's correct.)
Thanks. I appreciate any help in completing the tables.