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ClassTwoAlg

A package to enumerate class two algebras over finite fields

Version 1.0

18 October 2017

Bettina Eick
Email: beick@tu-bs.de
Homepage: http://www.icm.tu-bs.de/~beick/

Morten Wesche
Email: m.wesche@tu-bs.de
Homepage: http://www.icm.tu-bs.de/~morwesch/

Copyright

UNKNOWNEntity(classtwoalg) package is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

Acknowledgements

We appreciate very much all past and future comments, suggestions and contributions to this package and its documentation provided by GAP users and developers.

1 Introduction

2 Main function

2.1 Defining indeterminates and PORC functions

  2.1-1 NameToIndet
  2.1-2 ValueOfPorcPoly
  2.1-3 ValueOfPorcRatFun

2.2 Computing the number isomorphism types

2.2-1 NumberOfClassTwoAlgebras

2.3 Import and export of PORC functions

2.3-1 PorcToExt
2.3-2 PorcByExt

3 Actions and classes of algebras whose isomorphism types can be enumerated

3.1 Kronecker Action - Associative algebras

3.2 More actions

4 About the Info Class

4.1 The Info Class InfoCountAlg

References

Index

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