Mathematics Homework Solutions
Problem
#57648

Group Theory - Abelian Group : If G is a finite group whose order is a prime number p, then G is a cyclic group. Or, Every group of prime order is cyclic.Or, Every group of prime order is abelian.

If G is a finite group whose order is a prime number p, then  G is a cyclic  group.  
                                                                  Or,
Every group of prime order is cyclic.

                                                                     Or,
Every group of prime order is abelian.


Solution Summary

It is proven that if G is a finite group whose order is a prime number p, then G is a cyclic  group.  The solution is detailed and well presented.

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