Purchase Solution

# 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.

##### 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 ...

##### Probability Quiz

Some questions on probability

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.