# How do you show that G is abelian?

Not what you're looking for? Search our solutions OR ask your own Custom question.

Modern Algebra Question

If G is a group in which (a.b)^i =a^i.b^i for three consecutive integers i for all a,b belongs to G, show that G is abelian.

The fully formatted problem is in the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:42 pm ad1c9bdddfhttps://brainmass.com/math/algebra/how-do-you-show-that-g-is-abelian-57199

#### Solution Summary

This is a proof regarding an Abelian group. The solution is detailed and well presented.

$2.49