Integers Mod and the Cyclic Subgroups

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The group of integers modulo under addition is shown as points on a circle. The red lines show the cyclic subgroup generated by the element . The points on the circle are the roots of unity, which are given by the points in the set . These roots are given by the formula in the center for .

Contributed by: Richard Hennigan (November 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send