# If the group G has four elements, show it must be abelian.

Modern Algebra

Group Theory (XVI)

Abelian Group

If the group G has four elements, show it must be abelian.

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Modern Algebra

Group Theory (XVI)

Abelian Group

By:- Thokchom Sarojkumar Sinha

If the group has four elements, show it must be abelian.

Solution:- Let , where is the identity ...

#### Solution Summary

It is shown that if the group G has four elements, it must be abelian. The solution is detailed and well presented.