Mathematics · Group Theory
Let G be the set of non-zero positive rational numbers and * be the binary operation on G defined by a * b = 12(ab). Which of the following is a FALSE statement?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(G, *) is not an abelian group.✓
- 22 is the identity element for operation *.
- 3The operation * is associative.
- 4(G, *) is a group.
Correct answer
(G, *) is not an abelian group.
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