(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Classify all groups of order 39

2. Relevant equations

3. The attempt at a solution

I can show that if the group of abelian, it is isomorphic to Z/3Z*Z/13Z.

If the group is not abelian, there are two types of groups, they either follow the rule : x^3=e, y^13=e, and xy=y^3x; or x^3=e, y^13=e, and xy=y^9x. But I want to show that they are the same thing if I rename x^2=z.

But I want to prove that there is a homomorphic between these two groups. Could some one help me?

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

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!

# Homework Help: Group Classification

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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