<p>This is the manual for the <strong class="pkg">GAP</strong> 4 package <strong class="pkg">TwistedConjugacy</strong> version 3.1.1, developed by Sam Tertooy.</p>
<p>If you are using <strong class="pkg">GAP</strong> version 4.15.0 or newer, then <strong class="pkg">TwistedConjugacy</strong> should be installed by default.</p>
<p>If this is not the case, but the <strong class="pkg">PackageManager</strong> package is installed and loaded, you can install <strong class="pkg">TwistedConjugacy</strong> from within a <strong class="pkg">GAP</strong> session using <code class="func">InstallPackage</code> (<a href="/home/runner/gap/pkg/packagemanager/doc/chap2.html#X81A6FF1B81D004BA"><span class="RefLink">PackageManager 2.1-1</span></a>).</p>
<p>Alternatively, you can download <strong class="pkg">TwistedConjugacy</strong> as a .tar.gz archive <span class="URL"><a href="https://github.com/stertooy/TwistedConjugacy/releases/download/v3.1.1/TwistedConjugacy-3.1.1.tar.gz">here</a></span>. After extracting, you should place it in a suitable <code class="file">pkg</code> folder. For example, on a Debian-based Linux distribution (e.g. Ubuntu, Mint), you can place it in <code class="file">$HOME/.gap/pkg</code> (recommended) which makes it available for just yourself, or in the <strong class="pkg">GAP</strong> installation directory (<code class="file">gap-X.Y.Z/pkg</code>) which makes it available for all users.</p>
<p>You can use the following command to efficiently install the package for yourself:</p>
<div class="example"><pre>wget -qO - https://[...].tar.gz | tar xzf - --one-top-level=$HOME/.gap/pkg</pre></div>
<p>Once installed, loading <strong class="pkg">TwistedConjugacy</strong> can be done by using <code class="func">LoadPackage</code> (<a href="/home/runner/gap/doc/ref/chap76.html#X79B373A77B29D1F5"><span class="RefLink">ref 76.2-1</span></a>).</p>
<p>If you use the <strong class="pkg">TwistedConjugacy</strong> package in your research, we would love to hear about your work via an email to the address <span class="URL"><a href="mailto:sam.tertooy@kuleuven.be">sam.tertooy@kuleuven.be</a></span>. If you have used the <strong class="pkg">TwistedConjugacy</strong> package in the preparation of a paper and wish to refer to it, please cite it as described below.</p>
<p>In BibTeX:</p>
<div class="example"><pre>
@misc{TC3.1.1,
author = {Tertooy, Sam}, title = {{TwistedConjugacy,
Computation with twisted conjugacy classes,
Version 3.1.1}},
note = {GAP package},
year = {2025},
howpublished = {\url{https://stertooy.github.io/TwistedConjugacy}}
}</pre></div>
<p>In BibLaTeX:</p>
<div class="example"><pre>
@software{TC3.1.1,
author = {Tertooy, Sam}, title = {TwistedConjugacy},
subtitle = {Computation with twisted conjugacy classes},
version = {3.1.1},
note = {GAP package},
year = {2025},
url = {https://stertooy.github.io/TwistedConjugacy}
}</pre></div>
<p>If you encounter any problems, please submit them to the <span class="URL"><a href="https://github.com/stertooy/TwistedConjugacy/issues">issue tracker</a></span>. If you have any questions on the usage or functionality of <strong class="pkg">TwistedConjugacy</strong>, you may contact me via email at <span class="URL"><a href="mailto:sam.tertooy@kuleuven.be">sam.tertooy@kuleuven.be</a></span>.</p>
<p>Bugs in <strong class="pkg">GAP</strong>, in this package, or in any other package used directly or indirectly, may cause functions provided by <strong class="pkg">TwistedConjugacy</strong> to produce errors or incorrect results. To help detect such issues, you can enable internal checks by setting the variable <code class="code">TWC.ASSERT</code> to <code class="keyw">true</code>. Note that this will come at the cost of reduced performance.</p>
<p>For additional safety, you can enable <strong class="pkg">GAP</strong>'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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