A 4 (a) Determine all the elements of Z35.

(b) Show that U = {1, 8, 22, 29} a subgroup of Z35 is, so (U, O) < (Z85, 0).

(c) Find a subgroup of Z35 that contains 11 as an element.

(1+2+1 Points)

Please justify all answers.

Solutions without a solution path will not be evaluated.