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## Homework Statement

Let H be a subgroup of G such that g^-1hg is an element of H for all g in G and all h in H. Show that every left coset gH is the same as the right coset Hg.

## Homework Equations

## The Attempt at a Solution

need to show gh1=h2g

I know I need to show this, but am unsure on how to.