Do the translations, together with the identity map, form a subgroup of the group of plane isometries?

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Do the translations, together with the identity map, form a subgroup of the group of plane isometries? Why or why not?

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A First Course In Abstract Algebra

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Authors: John Fraleigh

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Do the translations, together with the identity map, form a subgroup of the group of plane isometries?

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A First Course In Abstract Algebra

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