# Some Basic Algebra with Exercises: Part 2.

Mar 23, 2024

In our previous story we have looked at the Index Theorem and the very often referred Lagrange Theorem:

*This shall be the hint for our next exercise.*

## Exercise:

*Solution:*

Next let us prove the opposite direction. Here it is where Lagrange’s Theorem comes into play.

The Lagrange Theorem, although very easy to prove, has a large impact on many areas in Algebra and Algebraic Number Theory.

Thank you for reading!