Groups and elements
Not what you're looking for?
If G is a group of order p^k, where p is a prime and k >=, show that G must have an element of order p.
Purchase this Solution
Solution Summary
This is a proof of prime groups and elements with given order.
Solution Preview
Proof:
If k=1, the result holds obviously.
Suppose the result holds for all t less than k, now for |G|=p^k,
Consider an element g in ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
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.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.