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<h3>References</h3>


<p><a id="biBAndaloro00" name="biBAndaloro00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1738650">And00</a></span>]   <b class='BibAuthor'>Andaloro, P.</b>,
 <i class='BibTitle'>On Total Stopping Times under 3x+1 Iteration</i>,
 <span class='BibJournal'>Fibonacci Quarterly</span>,
 <em class='BibVolume'>38</em>
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>73-78</span>.
</p>


<p><a id="biBFR" name="biBFR"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bar15</span>]   <b class='BibAuthor'>Bartholdi, L.</b>,
 <i class='BibTitle'>
    FR -- Computations with functionally recursive groups. Version 2.2.1
  </i>
 (<span class='BibYear'>2015</span>)<br />
(<span class='BibNote'>
    GAP package, <a href="https://www.gap-system.org/Packages/fr.html">https://www.gap-system.org/Packages/fr.html</a>
  </span>).
</p>


<p><a id="biBLaHarpe00" name="biBLaHarpe00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1786869">dlH00</a></span>]   <b class='BibAuthor'>de la Harpe, P.</b>,
 <i class='BibTitle'>Topics in Geometric Group Theory</i>,
 <span class='BibPublisher'>Chicago Lectures in Mathematics</span>
 (<span class='BibYear'>2000</span>).
</p>


<p><a id="biBPolycyclic" name="biBPolycyclic"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>EHN13</span>]   <b class='BibAuthor'>Eick, B., Horn, M. and Nickel, W.</b>,
 <i class='BibTitle'>
    Polycyclic -- Computation with polycyclic groups (Version 2.11)
  </i>
 (<span class='BibYear'>2013</span>)<br />
(<span class='BibNote'>
    GAP package, <a href="https://www.gap-system.org/Packages/polycyclic.html">https://www.gap-system.org/Packages/polycyclic.html</a>
  </span>).
</p>


<p><a id="biBUtils" name="biBUtils"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>GKW16</span>]   <b class='BibAuthor'>Gutsche, S., Kohl, S. and Wensley, C.</b>,
 <i class='BibTitle'>
    Utils - Utility functions in GAP (Version 0.38)
  </i>
 (<span class='BibYear'>2016</span>)<br />
(<span class='BibNote'>
    GAP package, <a href="https://www.gap-system.org/Packages/utils.html">https://www.gap-system.org/Packages/utils.html</a>
  </span>).
</p>


<p><a id="biBGrigorchuk80" name="biBGrigorchuk80"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0565099">Gri80</a></span>]   <b class='BibAuthor'>Grigorchuk, R. I.</b>,
 <i class='BibTitle'>Burnside's Problem on Periodic Groups</i>,
 <span class='BibJournal'>Functional Anal. Appl.</span>,
 <em class='BibVolume'>14</em>
 (<span class='BibYear'>1980</span>),
 <span class='BibPages'>41-43</span>.
</p>


<p><a id="biBGluckTaylor02" name="biBGluckTaylor02"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1879950">GT02</a></span>]   <b class='BibAuthor'>Gluck, D. and Taylor, B. D.</b>,
 <i class='BibTitle'>A New Statistic for the 3x+1 Problem</i>,
 <span class='BibJournal'>Proc. Amer. Math. Soc.</span>,
 <em class='BibVolume'>130</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>1293-1301</span>.
</p>


<p><a id="biBHoltEickOBrien05" name="biBHoltEickOBrien05"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2129747">HEO05</a></span>]   <b class='BibAuthor'>Holt, D. F., Eick, B. and O'Brien, E. A.</b>,
 <i class='BibTitle'>Handbook of Computational Group Theory</i>,
 <span class='BibPublisher'>Chapman & Hall / CRC, Boca Raton, FL</span>,
 <span class='BibSeries'>Discrete Mathematics and its Applications (Boca Raton)</span>
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>xvi+514 pages</span>.
</p>


<p><a id="biBHigman74" name="biBHigman74"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0376874">Hig74</a></span>]   <b class='BibAuthor'>Higman, G.</b>,
 <i class='BibTitle'>Finitely Presented Infinite Simple Groups</i>,
 <span class='BibPublisher'>Department of Pure Mathematics, Australian National University, Canberra</span>,
 <span class='BibSeries'>Notes on Pure Mathematics</span>
 (<span class='BibYear'>1974</span>).
</p>


<p><a id="biBKeller99" name="biBKeller99"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=1717767">Kel99</a></span>]   <b class='BibAuthor'>Keller, T. P.</b>,
 <i class='BibTitle'>Finite Cycles of Certain Periodically Linear Permutations</i>,
 <span class='BibJournal'>Missouri J. Math. Sci.</span>,
 <em class='BibVolume'>11</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1999</span>),
 <span class='BibPages'>152-157</span>.
</p>


<p><a id="biBKohl05" name="biBKohl05"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Koh05</span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>Restklassenweise affine Gruppen</i>,
 <span class='BibType'>Dissertation</span>,
 <span class='BibSchool'>Universität Stuttgart</span>
 (<span class='BibYear'>2005</span>)<br />
(<span class='BibNote'><a href="https://d-nb.info/977164071">https://d-nb.info/977164071</a></span>).
</p>


<p><a id="biBKohl07b" name="biBKohl07b"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Koh07a</span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>
    Graph Theoretical Criteria for the Wildness of Residue-Class-Wise Affine Permutations
  </i>
 (<span class='BibYear'>2007</span>)<br />
(<span class='BibNote'>
    Preprint (short note),
    <a href="https://www.gap-system.org/DevelopersPages/StefanKohl/preprints/graphcrit.pdf">https://www.gap-system.org/DevelopersPages/StefanKohl/preprints/graphcrit.pdf</a>
  </span>).
</p>


<p><a id="biBKohl07a" name="biBKohl07a"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2352043">Koh07b</a></span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>
    Wildness of Iteration of Certain Residue-Class-Wise Affine Mappings
  </i>,
 <span class='BibJournal'>Adv. in Appl. Math.</span>,
 <em class='BibVolume'>39</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2007</span>),
 <span class='BibPages'>322-328</span><br />
(<span class='BibNote'>DOI: 10.1016/j.aam.2006.08.003</span>).
</p>


<p><a id="biBKohl08b" name="biBKohl08b"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2415857">Koh08</a></span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>
    Algorithms for a Class of Infinite Permutation Groups
  </i>,
 <span class='BibJournal'>J. Symb. Comput.</span>,
 <em class='BibVolume'>43</em> (<span class='BibNumber'>8</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>545-581</span><br />
(<span class='BibNote'>DOI: 10.1016/j.jsc.2007.12.001</span>).
</p>


<p><a id="biBKohl09" name="biBKohl09"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2593301">Koh10</a></span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>
    A Simple Group Generated by Involutions Interchanging Residue Classes
    of the Integers
  </i>,
 <span class='BibJournal'>Math. Z.</span>,
 <em class='BibVolume'>264</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>2010</span>),
 <span class='BibPages'>927-938</span><br />
(<span class='BibNote'>DOI: 10.1007/s00209-009-0497-8</span>).
</p>


<p><a id="biBKohl13" name="biBKohl13"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Koh13</span>]   <b class='BibAuthor'>Kohl, S.</b>,
 <i class='BibTitle'>
    Simple Groups Generated by Involutions Interchanging
    Residue Classes Modulo Lattices in Z^d
  </i>,
 <span class='BibJournal'>J. Group Theory</span>,
 <em class='BibVolume'>16</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2013</span>),
 <span class='BibPages'>81-86</span><br />
(<span class='BibNote'>DOI: 10.1515/jgt-2012-0031</span>).
</p>


<p><a id="biBLagarias06" name="biBLagarias06"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lag03</span>]   <b class='BibAuthor'>Lagarias, J. C.</b>,
 <i class='BibTitle'>The 3x+1 Problem: An Annotated Bibliography</i>
 (<span class='BibYear'>2003+</span>)<br />
(<span class='BibNote'>
    <a href="https://arxiv.org/abs/math.NT/0309224">https://arxiv.org/abs/math.NT/0309224</a> (Part I),
    <a href="https://arxiv.org/abs/math.NT/0608208">https://arxiv.org/abs/math.NT/0608208</a> (Part II)
  </span>).
</p>


<p><a id="biBGAPDoc" name="biBGAPDoc"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>LN12</span>]   <b class='BibAuthor'>Lübeck, F. and Neunhöffer, M.</b>,
 <i class='BibTitle'>GAPDoc (Version 1.5.1)</i>,
 <span class='BibOrganization'>RWTH Aachen</span>
 (<span class='BibYear'>2012</span>)<br />
(<span class='BibNote'>
    GAP package, <a href="https://www.gap-system.org/Packages/gapdoc.html">https://www.gap-system.org/Packages/gapdoc.html</a>
  </span>).
</p>


<p><a id="biBMatthewsLeigh87" name="biBMatthewsLeigh87"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=0880462">ML87</a></span>]   <b class='BibAuthor'>Matthews, K. R. and Leigh, G. M.</b>,
 <i class='BibTitle'>
    A Generalization of the Syracuse Algorithm in
    GF(q)[x]
  </i>,
 <span class='BibJournal'>J. Number Theory</span>,
 <em class='BibVolume'>25</em>
 (<span class='BibYear'>1987</span>),
 <span class='BibPages'>274-278</span>.
</p>


<p><a id="biBGRAPE" name="biBGRAPE"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Soi16</span>]   <b class='BibAuthor'>Soicher, L.</b>,
 <i class='BibTitle'>GRAPE -- GRaph Algorithms using PErmutation groups (Version 4.7)</i>,
 <span class='BibOrganization'>Queen Mary, University of London</span>
 (<span class='BibYear'>2016</span>)<br />
(<span class='BibNote'>
    GAP package, <a href="https://www.gap-system.org/Packages/grape.html">https://www.gap-system.org/Packages/grape.html</a>
  </span>).
</p>

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