√4. Let G be the multiplicative group of units Us = {[1], [2], [3], [4]} Zs.

9. Find all homomorphic images of the octic group.

Find the order of each of the following elements in the multiplicative group of units . for for for for

Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union. (Sec. 1.1,7c)

Write 20 as the direct sum of two of its nontrivial subgroups.

Find the right regular representation of G as defined Exercise 11 for each of the following groups. a. G={ 1,i,1,i } from Example 1. b. The octic group D4={ e,,2,3,,,, }.