Decide whether the given set of numbers is a group under the given operation.
-Prime numbers; multiplication
A) Yes
B) No

Question

Quizplus · Accepted Answer

For a set to form a group under a certain operation, it must satisfy four properties: closure, associativity, identity, and invertibility. The set of prime numbers under multiplication does not have an identity element within the set (the identity for multiplication is 1, which is not a prime number), and not every element has an inverse within the set that is also a prime number.

Decide Whether the Given Set of Numbers Is a Group