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1 Introduction to the CTBlocks Package

The aims of the GAP 4 package CTBlocks are as follows.

• It provides general character theoretic GAP functions for questions about \(p\)-blocks, see Chapter 3.

• It provides special GAP functions whose aim is to check conditions that arise in reduction theorems in the context of the Alperin-McKay conjecture and of Alperin's weight conjecture.

If you use this package to solve a problem then please send a short email to sam@math.rwth-aachen.de about it. You can reference the package as follows.

@misc{ CTBlocks0.9.5,
  author =       {Breuer, T.},
  title =        {{CTBlocks}, Blocks of Character Tables,
                  {V}ersion 0.9.5},
  month =        {May},
  year =         {2022},
  note =         {\textsf{GAP} package},
  howpublished = {http://www.math.rwth-aachen.de/\~{}Thomas.Breuer/ctblocks}
}

For referencing the GAP system in general, use the entry [GAP19] in the bibliography of this manual, see also

http://www.gap-system.org.

1.1 Acknowledgements

The development of the package has been supported by the SFB-TRR 195 "Symbolic Tools in Mathematics and their Applications" (Project-ID 286237555, since 2017).

Several GAP functions, in particular those described in Section 3.8, have been written together with Erzsébet Horváth, and have been used already in the preparation of [BH01].

Thanks to Mohamed Barakat and Gabriel Navarro for discussions and suggestions.

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