GroupTheory`Basic`
GroupTheory`Basic`

GTCyclicQ

GTCyclicQ[group]

gives True if group is a cyclic group, and gives False otherwise.

Details and Options

  • A group is called cyclic, if all elements can be represented as powers of one element . In other words only one generator exists (GTGenerators).
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, Chapter 3.1

Examples

Basic Examples  (2)

First, load the package:

For example, is a cyclic group