I'm looking at the exercises of Hungerfod's(adsbygoogle = window.adsbygoogle || []).push({}); Algebra. Some looks easy but it seems the proofs are not so obvious. Here's one I'm particularly having a hard time solving:

Let G be an abelian group of order pq with (p,q)=1. Assume that there exists elements a and b in G such that |a|= p and |b| = q. Show that G is cyclic.

Help anyone?

**Physics Forums - The Fusion of Science and Community**

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

# Cyclic abelian group of order pq

Loading...

Similar Threads - Cyclic abelian group | Date |
---|---|

I Proving a lemma on decomposition of V to T-cyclic subspace | Mar 16, 2017 |

I Nature of cyclic groups | Feb 21, 2017 |

Abelian group with order product of primes = cyclic? | Jun 13, 2012 |

Cyclic = abelian? | Nov 28, 2005 |

**Physics Forums - The Fusion of Science and Community**