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UnitalSZ

Algorithms and libraries of abstract unitals and their embeddings

0.6

20 March 2020

Gábor Péter Nagy
Email: nagyg@math.u-szeged.hu
Homepage: http://www.math.u-szeged.hu/~nagyg
Address:
H-6720 Szeged, Aradi vértanúk tere 1

Dávid Mezőfi
Email: mezofi@math.u-szeged.hu
Homepage: http://www.math.u-szeged.hu/~mezofi
Address:
H-6720 Szeged, Aradi vértanúk tere 1

Contents

2 Libraries and classes of abstract unitals

2.1 Classes of abstract unitals

  2.1-1 HermitianAbstractUnital
  2.1-2 AllBuekenhoutMetzAbstractUnitalParameters
  2.1-3 OrthogonalBuekenhoutMetzAbstractUnital
  2.1-4 BuekenhoutTitsAbstractUnital
  2.1-5 BagchiBagchiCyclicUnital

  2.2-1 BBTAbstractUnital
  2.2-2 KNPAbstractUnital
  2.2-3 KrcadinacAbstractUnital
  2.2-4 P3MAbstractUnital
  2.2-5 P4MAbstractUnital
  2.2-6 SL28InvariantAbstractUnital

2.3 Global functions for libraries

  2.3-1 DisplayUnitalLibraryInfo
  2.3-2 NumberOfAbstractUnitalsInLibrary
  2.3-3 ReadLibraryDataFromFiles@
  2.3-4 ReadAbstractUnitalFromLibraryNC@

3 Full points and perspectivities

3.1 Full points of unitals

3.1-1 FullPointsOfUnitalsBlocks
3.1-2 FullPointsOfUnitalRepresentatives

3.2 Group of perspectivities

3.2-1 PerspectivityGroupOfUnitalsBlocks

3.3 Embedded dual 3-nets and full point regularity

  3.3-1 EmbeddedDual3NetsOfUnitalRepresentatives
  3.3-2 LatinSquareOfEmbeddedDual3Net
  3.3-3 IsFullPointRegularUnital
  3.3-4 IsStronglyFullPointRegularUnital

4 UnitalSZ automatic generated documentation

4.1 UnitalSZ automatic generated documentation of global functions

4.1-1 ReadAbstractUnitalFromLibraryByChunksNC@

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