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Does the operation a*b = ab in Q give a group structure?

Modern Algebra
Group theory

Determine whether the following binary operation give a group structure on the given set.
If not, give all reasons they fail and supply counter-examples.

a*b = ab in Q.

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Modern Algebra
Group theory ...

Solution Summary

This solution is comprised of a detailed explanation of the binary operation on a group.
It contains step-by-step explanation for the following problem:

Determine whether the following binary operation give a group structure on the given set.
If not, give all reasons they fail and supply counter-examples.

a*b = ab in Q.

Solution contains detailed step-by-step explanation.

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