- #1

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## Homework Statement

If H is a subgroup of G and Ha = bH for elements a and b in G, show that aH = Hb.

## Homework Equations

None needed

## The Attempt at a Solution

I've basically just been fiddling around by right and left side multiplication of inverses and what not and can't seem to get it in the right form.. anyone want to guide me in the right direction?

My attempt:

Ha = bH --> (b^-1)Ha(a^-1) = (b^-1)bH(a^-1) = (b^-1)H = H(a^-1)