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

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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.

See the attached file.

https://brainmass.com/math/basic-algebra/operation-group-structure-39429

## SOLUTION This solution is FREE courtesy of BrainMass!

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.

See the attached file for the solution of the problem.

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This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!