Hi,
G={1,5,25,125} is a cyclic group under modulo 625. Is this correct?
I had a course on Group theory recently. Based on the answer to the above question I want to know whether I had understand the concepts well.
Thank you.
First you have to show that G is a group under the operation specified, which I will assume is multiplication modulo 625.
Then you have to show that there is an element that generates the entire group.
G fails to be a group as it is not closed under multiplication modulo 625 since:
CB