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.