Is the set of numbers described below a commutative group under the given operation? Whole numbers; multiplication O Yes O No
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A: Please find the detailed solution in below images. The answer is 4πa^3
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A: The answer is given below thank you for the question upvote is really appreciable
Q: Is the set of numbers described below a commutative group under the given operation? Whole numbers; ...
A: This is a problem of Abstract Algebra.
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A: Since you have asked multiple sub-parts, we can solve first three sub-parts for you. If you want oth...
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Q: ers; addition Yes
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A: Please find attachment for the details solution
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A: The question is related to complex numbers. The solution is explained below.
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A: We have to see if the set of Natural numbers is group under Subtraction ?
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A: I have solved the abive question below please do upvote if you like the solution thank you
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- In Exercises 114, decide whether each of the given sets is a group with respect to the indicated operation. If it is not a group, state a condition in Definition 3.1 that fails to hold. The set of all multiples of a positive integer n is group with operation multiplication.In Exercises 114, decide whether each of the given sets is a group with respect to the indicated operation. If it is not a group, state a condition in Definition 3.1 that fails to hold. The set of all positive irrational numbers with operation multiplication.Construct a multiplication table for the group G of rigid motions of a rectangle with vertices 1,2,3,4 if the rectangle is not a square.