Question

consider the set {5,15,25,35}, a group under multiplication modulo 40. identify the element of this group​

Answer 1

Answer:

Conclusion. Since the set {5, 15, 25, 35} with multiplication modulo 40 satis- fies all requirements given in the definition of a group, {5, 15, 25, 35} is a group under the multiplication modulo 40. inverse of every element in U(8) is also itself. This is one relationship between {5, 15, 25, 35} and U(8).