How to prove that a group of order prime number is cyclic without using isomorphism/coset?(adsbygoogle = window.adsbygoogle || []).push({});

Can i prove it using basic knowledge about group/subgroup/cyclic(basic)?

I just learnt basic and have not yet learnt morphism/coset/index.

Can you guys kindly give me some hints or just answer yes/no? No solution for this question please and i am not posting HW.

**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!

# How to prove that a group of order prime number is cyclic without using isomorphism?

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