Determine whether the binary operation * gives a group structure on the given set. If no group

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Determine whether the binary operation * gives a group structure on the given set. If no group results, give the first axiom in the order G₁, G₂, G₃ from Definition 4.1 that does not hold.

Let * be defined on R⁺ by letting a * b = √ab.

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Question Posted: Dec 26, 2022 01:29 PM

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Determine whether the binary operation * gives a group structure on the given set. If no group

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