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

Not what you're looking for?

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.

##### Purchase this Solution

##### 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.

##### Solution Preview

Modern Algebra

Group theory ...

###### Education

- BSc, Manipur University
- MSc, Kanpur University

###### Recent Feedback

- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.