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1 The TwistedConjugacy package
 1.1 Installation
 1.2 Loading
 1.3 Citing
 1.4 Support

1 The TwistedConjugacy package

This is the manual for the GAP 4 package TwistedConjugacyClone version 3.0.0, developed by Sam Tertooy.

1.1 Installation

You can download TwistedConjugacyClone as a .tar.gz archive here. After extracting, you should place it in a suitable pkg folder. For example, on a Debian-based Linux distribution (e.g. Ubuntu, Mint), you can place it in $HOME/.gap/pkg (recommended) which makes it available for just yourself, or in the GAP installation directory (gap-X.Y.Z/pkg) which makes it available for all users.

You can use the following command to efficiently install the package for yourself:

wget -qO- https://[...].tar.gz | tar xzf - --one-top-level=$HOME/.gap/pkg

If the PackageManager package is installed and loaded, you can install TwistedConjugacyClone from within a GAP session using InstallPackage (PackageManager 2.1-1).

gap> InstallPackage( "https://[...].tar.gz" );
...
true

1.2 Loading

Once installed, loading TwistedConjugacyClone can be done by using LoadPackage (ref 76.2-1).

gap> LoadPackage( "TwistedConjugacy" );
...
true

1.3 Citing

If you use the TwistedConjugacyClone package in your research, we would love to hear about your work via an email to the address sam.tertooy@kuleuven.be. If you have used the TwistedConjugacyClone package in the preparation of a paper and wish to refer to it, please cite it as described below.

In BibTeX:

@misc{TC3.0.0,
    author =       {Tertooy, Sam},
    title =        {{TwistedConjugacy,
                    Computation with twisted conjugacy classes,
                    Version 3.0.0}},
    note =         {GAP package},
    year =         {2025},
    howpublished = {\url{https://stertooy.github.io/TwistedConjugacy}}
}

In BibLaTeX:

@software{TC3.0.0,
    author =   {Tertooy, Sam},
    title =    {TwistedConjugacy},
    subtitle = {Computation with twisted conjugacy classes},
    version =  {3.0.0},
    note =     {GAP package},
    year =     {2025},
    url =      {https://stertooy.github.io/TwistedConjugacyClone}
}

1.4 Support

If you encounter any problems, please submit them to the issue tracker. If you have any questions on the usage or functionality of TwistedConjugacyClone, you may contact me via email at sam.tertooy@kuleuven.be.

Bugs in GAP, in this package, or in any other package used directly or indirectly, may cause functions provided by TwistedConjugacyClone to produce errors or incorrect results. To help detect such issues, you can enable internal checks by setting the variable ASSERT@TwistedConjugacy to true. Note that this will come at the cost of reduced performance.

For additional safety, you can enable GAP's built-in assertion features by calling SetAssertionLevel( lev ) (we recommend setting lev to 2) and, when working with PcpGroups, setting the variables CHECK_CENT@Polycyclic, CHECK_IGS@Polycyclic and CHECK_INTSTAB@Polycyclic to true.

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