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<h1>NoCK</h1>


<h2>Computing obstruction for the existence of compact Clifford-Klein form</h2>

<p>
    1.5</p>

<p>
    30 March 2022
  </p>

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<p><b>
    Maciej Bocheński


  </b>
<br />Email: <span class="URL"><a href="mailto:mabo@matman.uwm.edu.pl">mabo@matman.uwm.edu.pl</a></span>
</p><p><b>
    Piotr Jastrzębski



  </b>
<br />Email: <span class="URL"><a href="mailto:piojas@matman.uwm.edu.pl">piojas@matman.uwm.edu.pl</a></span>
<br />Homepage: <span class="URL"><a href="http://wmii.uwm.edu.pl/~piojas/">http://wmii.uwm.edu.pl/~piojas/</a></span>
</p><p><b>
    Anna Szczepkowska


  </b>
<br />Email: <span class="URL"><a href="mailto:anna.szczepkowska@matman.uwm.edu.pl">anna.szczepkowska@matman.uwm.edu.pl</a></span>
</p><p><b>
    Aleksy Tralle



  </b>
<br />Email: <span class="URL"><a href="mailto:tralle@matman.uwm.edu.pl">tralle@matman.uwm.edu.pl</a></span>
<br />Homepage: <span class="URL"><a href="http://wmii.uwm.edu.pl/~tralle/">http://wmii.uwm.edu.pl/~tralle/</a></span>
</p><p><b>
    Artur Woike



  </b>
<br />Email: <span class="URL"><a href="mailto:awoike@matman.uwm.edu.pl">awoike@matman.uwm.edu.pl</a></span>
<br />Homepage: <span class="URL"><a href="http://wmii.uwm.edu.pl/~awoike">http://wmii.uwm.edu.pl/~awoike</a></span>
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<p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89"></a></p>
<h3>Abstract</h3>
<p>In this package we develop functions for an algorithm designed to find homogeneous spaces of semisimple non-compact Lie groups which do not admit compact Clifford-Klein forms.</p>

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<h3>Copyright</h3>
<p>NoCK Package is free software; you can redistribute it and/or modify it under the terms of the <span class="URL"><a href="https://www.fsf.org/licenses/gpl.html">GNU General Public License</a></span> as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.</p>

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<h3>Acknowledgements</h3>
<p>We thank Willem de Graaf for his help in getting some literature sources.</p>

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<h3>Contents<a id="contents" name="contents"></a></h3>

<div class="ContChap"><a href="chap1.html#X7DD31B407B9402A3">1 <span class="Heading">Notation</span></a>
</div>
<div class="ContChap"><a href="chap2.html#X7DD2840E797415E3">2 <span class="Heading">Obstruction for the existence of compact Clifford-Klein form</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X805C42557996F58A">2.1 <span class="Heading">Technical functions</span></a>
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<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X832D9E887973AABE">2.1-1 NonCompactDimension</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X868FC1B77B4B4D4C">2.1-2 PCoefficients</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X827DC41787C8BC7B">2.1-3 PCalculate</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X87164CA87A56E5B8">2.1-4 AllZeroDH</a></span>
</div></div>
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<div class="ContChap"><a href="chap3.html#X7F57F15D7A4099A1">3 <span class="Heading">Algorithm example</span></a>
</div>
<div class="ContChap"><a href="chapBib.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd.html"><span class="Heading">Index</span></a></div>
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