Consider H in Find all distinct cosets x HSolutioni have

Consider H = <6> in <Z₈, +₈>. Find all distinct cosets x + H.

Solution

i have an idea the requried coset set is

{(x+6)/8,(x+12)/8,(x+18)8,()x+24}/8,(x+30)/8........etc}

i.e.{(x+6n)/8,n=1,2,3,......}