Let V= {e,a,b,c} be the klein four group with the group operation given below : e a | b| c е е a b a a е b b|b e a c| b a е Let p: V→GL2 (C) be defined as 1 p (e): p (a) -1 0. 0. P (b) = -1 -1 (i)...

Please answer all subparts

Extracted text: Let V= {e,a,b,c} be the klein four group with the group operation given below : e a | b| c е е a b a a е b b|b e a c| b a е Let p: V→GL2 (C) be defined as 1 p (e): p (a) -1 0. 0. P (b) = -1 -1 (i) Check that p is a representation of V. Find the character of p. (ii) (iii) Is p irreducible ? Justify.