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WPE

Provides efficient methods for working with wreath product elements.

0.5

17 June 2022

Friedrich Rober
Email: friedrich.rober@rwth-aachen.de

Contents

1 Introduction
 1.1 Overview
 1.2 Notation
 1.3 Wreath Cycle Decomposition
 1.4 Sparse Wreath Cycle
 1.5 Example
2 Tutorial
 2.1 Create Wreath Product Elements
 2.2 Display Wreath Product Elements
3 Functions
 3.1 Generic Wreath Product Representation

  3.1-1 IsomorphismToGenericWreathProduct
 3.2 Accessing Components

  3.2-1 ComponentsOfWreathProduct
  3.2-2 TopGroupOfWreathProduct
  3.2-3 BaseGroupOfWreathProduct
  3.2-4 TopComponentOfWreathProductElement
  3.2-5 BaseComponentOfWreathProductElement
 3.3 Properties of Wreath Product Elements

  3.3-1 Territory
  3.3-2 IsWreathCycle
  3.3-3 IsSparseWreathCycle
  3.3-4 WreathCycleDecomposition
  3.3-5 Yade
 3.4 Printing, Viewing and Displaying

  3.4-1 ViewObj
  3.4-2 DisplayOptionsForWreathProductElements
  3.4-3 SetDisplayOptionsForWreathProductElements
  3.4-4 ResetDisplayOptionsForWreathProductElements
 3.5 Cycle Index of Wreath Products

  3.5-1 CycleIndexWreathProductProductAction
4 Operations
 4.1 Operations List

  4.1-1 Wreath Product Representations
  4.1-2 Operations for all Representations
  4.1-3 Operations for Generic Representation
References
Index

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