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SmallCancellation

SmallCancellation/metric and nonmetric conditions

1.0.4

24 June 2020

Iván Sadofschi Costa
Email: isadofschi@dm.uba.ar
Homepage: http://mate.dm.uba.ar/~isadofschi
Address:
Pabellón I - Ciudad Universitaria (1428)
Buenos Aires
Argentina

Contents

1 Small Cancellation Theory: the classical conditions

1.1 Introduction

1.2-1 PiecesOfGroup
1.2-2 PiecesOfPresentation

1.3 Metric small cancellation conditions

1.3-1 GroupSatisfiesCPrime
1.3-2 PresentationSatisfiesCPrime

1.4 Non-metric small cancellation conditions

  1.4-1 GroupSatisfiesC
  1.4-2 PresentationSatisfiesC
  1.4-3 GroupSatisfiesT
  1.4-4 PresentationSatisfiesT

1.5 Implementation details

2 More small cancellation conditions

2.1 Condition Tau'

2.1-1 GroupSatisfiesTauPrime

3 Additional functions

3.1 Additional functions

  3.1-1 GraphFromAdjacencyMatrix
  3.1-2 WhiteheadGraphAdjacencyMatrix
  3.1-3 ExponentMatrixOfGroup
  3.1-4 ExponentMatrixOfPresentation

4 Installing and Loading the SmallCancellation Package

4.1 Compiling Binaries of the SmallCancellation Package

4.2 Loading the SmallCancellation Package

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