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Lemma: Subgroups and Their Cosets are Equipotent

Let \((G,\ast)\) be a group, \(H\subseteq G\) its subgroup. Then, for all $a\in G$, the left cosets $aH$ and the right cosets $Ha$ are equipotent to $H.$

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References

Bibliography

  1. Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013