A cyclic group of order 15 has an element x such that the set {x^3, x^5, x^9} has exactly two elements. The number of elements in the set {x^(13n) : n is a positive integer} is :(adsbygoogle = window.adsbygoogle || []).push({});

3.

WHy is the answer 3? Thanks!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A cyclic group of order 15

**Physics Forums | Science Articles, Homework Help, Discussion**