Integers Mod and the Cyclic Subgroups

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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



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