G group, H subgroup of G.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose aH and bH are distinct leftcosets then Ha and Hb must be distinct right cosets?

My humble thoughts:

the left coset aH consists of a times everything in H;

Ha consists of everything in H times a.

Then this argument above is true?

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# Distinct left(right) cosets

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