Draw the group operation tables for the groups ( 4, + 4 ) and ( * 5 , 5 ). Show that these groups

Draw the group operation tables for the groups (ℤ_4, + ₄) and (ℤ^*₅, ·₅). Show that these groups are isomorphic by exhibiting a one-to-one correspondence α between their elements such that a + b ≡ c (mod 4) if and only if α(a) · α (b) · α(c) (mod 5).