Question

1) Compute 3^23 mod 5 by using modular arithmetic. List the steps.

2) S4 is a group of all permutations of 4 distinct symbols. List all the elements of S4.

Is S4 an abelian group? Use an example to explain.

3) φ(25) refers to the positive integers less than 25 and relatively prime to 25. List

these integers.

Answer 1