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1) Choose a subgroup of Pentagons D5, and list all the left or right cosets of...

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Advance Math

1) Choose a subgroup of Pentagons D5, and list allthe left or right cosets of your pet. Will the set of right cosetsbe different from the left cosets? Explain.

2) Does Pentagons D5, have any non-trivial normalsubgroups? If so, give an example.If not, explain why not.

3) Is there a second binary structure that would make PentagonsD5 a ring?

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