Category:Multiplicative Groups of Complex Roots of Unity

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This category contains examples of Multiplicative Group of Complex Roots of Unity.

Let $n \in \Z$ be an integer such that $n > 0$.

Let $U_n := \set {z \in \C: z^n = 1}$ denote the set of complex $n$th roots of unity.

Let $\struct {U_n, \times}$ be the algebraic structure formed by $U_n$ under complex multiplication.

Then $\struct {U_n, \times}$ is the multiplicative group of complex $n$th roots of unity.

Subcategories

This category has only the following subcategory.

G

Group of Gaussian Integer Units‎ (2 C, 4 P)

Pages in category "Multiplicative Groups of Complex Roots of Unity"

The following 5 pages are in this category, out of 5 total.

H

Homomorphism from Group of Cube Roots of Unity to Itself

I

Intersection of Multiplicative Groups of Complex Roots of Unity

M

Multiplicative Group of Complex Roots of Unity is Subgroup of Circle Group

R

Roots of Unity under Multiplication form Cyclic Group

S

Subgroup of Circle Group Generated by Distinct Roots of Unity

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