Finding the Right Cosets of a Cyclic Subgroup of the Additive Group of Integers Modulo 4

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Finding the Right Cosets of a Cyclic Subgroup of the Additive Group of Integers Modulo 4
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Saved my life....not actually...but really good work man! The society looks up to you.

vibodhj
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can you show how to find the left and right cosets in Z6 of the subgroup ⟨3
with a bar on top⟩

kirstenbyers