Quiz 8 Solution

Hint there are four write your final answers below use

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Unformatted text preview: nd ALL cosets of H. (Hint: there are four.) Write your final answers below. Use the whitespace above or the back of the page for your work. We find cosets by performing the group operation between each member of the group and the members of the coset, one at a time. When attempting to generate a coset yields a repeated element, we skip the coset generated by that group member and continue until all elements of the group are covered. For example, performing the group operation with element 2 and the subgroup H yields {2, 4, 6, 0} – and all of these elements are already present in the coset g...
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