S3 is true 10 has 4 generator

10=2*5

phi(10)=1*4

phi(5)=5^1-5^0

=4

phi(2)=1

10=2*5

phi(10)=1*4

phi(5)=5^1-5^0

=4

phi(2)=1

0 votes

Consider the following statements:

**S _{1}:** Every cyclic group is Abelian group.

Which of the following is true?

2 votes

0

How you have applied the above things. I do not really get.

For finding the number of generators of the cyclic group, I know that we need to find the number of prime factors but what's after that?

1

this is the theorem @`JEET

if a cyclic group Gis generated by an element a of order n,then $a^{m}$ is a generator of G if and only if the greatest common divisor of m and n is 1 that is m & n are relatively prime

cyclic group of order 10

now in this 1,3,7,9 are the nos which are relatively prime to 10

hence 4 generators!!