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

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

2) Does Pentagons D_5, have any non-trivial normal subgroups? If so, give an example.If not, explain why not.

3) Is there a second binary structure that would make Pentagons D₅ a ring?

Expert Solution

Colby Messinger answered 2 years ago

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