GROUP THEORY PACKAGE SYMBOL

GTCyclicQ

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

DetailsDetails

  • 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

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Basic Examples  (2)Basic Examples  (2)

First, load the package:

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For example, is a cyclic group

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