Purchase Solution

Group Homomrphisms and Isomorphisms

Not what you're looking for?

Ask Custom Question

Let Φ: G --> H be a group homomorphism.
Let Φ be a surjection. Then Φ is an isomorphism if and only if the order of the element φ(a) is equal to the order of the element a for all a єG.

See the attached file.

Purchase this Solution

Solution Summary

Group homomrphisms and isomorphisms are investigated and discussed in the solution. The solution is detailed and well presented.

Purchase this Solution

Free BrainMass Quizzes
Solving quadratic inequalities

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

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Multiplying Complex Numbers

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

Graphs and Functions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts