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<title>GAP (polycyclic) - References</title>
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<h3>References</h3>


<p><a id="biBBCRS91" name="biBBCRS91"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>BCRS91</span>]   <b class='BibAuthor'>Baumslag, G., Cannonito, F. B., Robinson, D. J. S. and Segal, D.</b>,
 <i class='BibTitle'>The algorithmic theory of polycyclic-by-finite groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>142</em>
 (<span class='BibYear'>1991</span>),
 <span class='BibPages'>118--149</span>.
</p>


<p><a id="biBB-K00" name="biBB-K00"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=2003d:20037">BK00</a></span>]   <b class='BibAuthor'>Beuerle, J. R. and Kappe, L.-C.</b>,
 <i class='BibTitle'>Infinite metacyclic groups and their non-abelian
                         tensor squares</i>,
 <span class='BibJournal'>Proc. Edinburgh Math. Soc. (2)</span>,
 <em class='BibVolume'>43</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>651--662</span>.
</p>


<p><a id="biBdGN02" name="biBdGN02"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1876310">dGN02</a></span>]   <b class='BibAuthor'>de Graaf, W. A. and Nickel, W.</b>,
 <i class='BibTitle'>Constructing faithful representations of
  finitely-generated torsion-free nilpotent groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>33</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>31--41</span>.
</p>


<p><a id="biBEic00" name="biBEic00"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eic00</span>]   <b class='BibAuthor'>Eick, B.</b>,
 <i class='BibTitle'>Computing with infinite polycyclic groups</i>,
  in  <i class='BibBooktitle'>Groups and Computation III</i>,
 <span class='BibOrganization'>(DIMACS, 1999)</span>,
 <span class='BibSeries'>Amer. Math. Soc. DIMACS Series</span>
 (<span class='BibYear'>2000</span>).
</p>


<p><a id="biBEic01b" name="biBEic01b"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eic01a</span>]   <b class='BibAuthor'>Eick, B.</b>,
 <i class='BibTitle'>Computations with polycyclic groups</i>
 (<span class='BibYear'>2001</span>),
<span class='BibHowpublished'>Habilitationsschrift, Kassel</span>.
</p>


<p><a id="biBEic01" name="biBEic01"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eic01b</span>]   <b class='BibAuthor'>Eick, B.</b>,
 <i class='BibTitle'>On the Fitting subgroup of a polycyclic-by-finite group
                     and its applications</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>242</em>
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>176--187</span>.
</p>


<p><a id="biBEic02" name="biBEic02"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Eic02</span>]   <b class='BibAuthor'>Eick, B.</b>,
 <i class='BibTitle'>Orbit-stabilizer problems and computing normalizers for
                      polycyclic groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>34</em>
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>1--19</span>.
</p>


<p><a id="biBEickNickel07" name="biBEickNickel07"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2422322">EN08</a></span>]   <b class='BibAuthor'>Eick, B. and Nickel, W.</b>,
 <i class='BibTitle'>Computing the Schur multiplicator  and  the  non-abelian
                  tensor square of a polycyclic group</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>320</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>927–-944</span>.
</p>


<p><a id="biBEOs01" name="biBEOs01"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>EO02</span>]   <b class='BibAuthor'>Eick, B. and Ostheimer, G.</b>,
 <i class='BibTitle'>On the orbit stabilizer problem for integral matrix
                      actions of polycyclic groups</i>,
 <span class='BibJournal'>Accepted by Math. Comp</span>
 (<span class='BibYear'>2002</span>).
</p>


<p><a id="biBHir38a" name="biBHir38a"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir38a</span>]   <b class='BibAuthor'>Hirsch, K. A.</b>,
 <i class='BibTitle'>On Infinite Soluble Groups (I)</i>,
 <span class='BibJournal'>Proc. London Math. Soc.</span>,
 <em class='BibVolume'>44</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1938</span>),
 <span class='BibPages'>53-60</span>.
</p>


<p><a id="biBHir38b" name="biBHir38b"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir38b</span>]   <b class='BibAuthor'>Hirsch, K. A.</b>,
 <i class='BibTitle'>On Infinite Soluble Groups (II)</i>,
 <span class='BibJournal'>Proc. London Math. Soc.</span>,
 <em class='BibVolume'>44</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1938</span>),
 <span class='BibPages'>336-414</span>.
</p>


<p><a id="biBHir46" name="biBHir46"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir46</span>]   <b class='BibAuthor'>Hirsch, K. A.</b>,
 <i class='BibTitle'>On Infinite Soluble Groups (III)</i>,
 <span class='BibJournal'>J. London Math. Soc.</span>,
 <em class='BibVolume'>49</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1946</span>),
 <span class='BibPages'>184-94</span>.
</p>


<p><a id="biBHir52" name="biBHir52"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir52</span>]   <b class='BibAuthor'>Hirsch, K. A.</b>,
 <i class='BibTitle'>On Infinite Soluble Groups (IV)</i>,
 <span class='BibJournal'>J. London Math. Soc.</span>,
 <em class='BibVolume'>27</em>
 (<span class='BibYear'>1952</span>),
 <span class='BibPages'>81-85</span>.
</p>


<p><a id="biBHir54" name="biBHir54"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Hir54</span>]   <b class='BibAuthor'>Hirsch, K. A.</b>,
 <i class='BibTitle'>On Infinite Soluble Groups (V)</i>,
 <span class='BibJournal'>J. London Math. Soc.</span>,
 <em class='BibVolume'>29</em>
 (<span class='BibYear'>1954</span>),
 <span class='BibPages'>250-251</span>.
</p>


<p><a id="biBLo99" name="biBLo99"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lo98a</span>]   <b class='BibAuthor'>Lo, E. H.</b>,
 <i class='BibTitle'>Enumerating finite index subgroups of polycyclic groups</i>
 (<span class='BibYear'>1998</span>),
<span class='BibHowpublished'>Unpublished report</span>.
</p>


<p><a id="biBLo98" name="biBLo98"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Lo98b</span>]   <b class='BibAuthor'>Lo, E. H.</b>,
 <i class='BibTitle'>Finding intersection and normalizer in
                        finitely generated nilpotent groups</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>25</em>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>45--59</span>.
</p>


<p><a id="biBLGS90" name="biBLGS90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=92b:20021">LS90</a></span>]   <b class='BibAuthor'>Leedham-Green, C. R. and Soicher, L. H.</b>,
 <i class='BibTitle'>Collection from the left and other strategies</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>9</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>665--675</span>.
</p>


<p><a id="biBLGS98" name="biBLGS98"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=99f:20002">LS98</a></span>]   <b class='BibAuthor'>Leedham-Green, C. R. and Soicher, L. H.</b>,
 <i class='BibTitle'>Symbolic collection using Deep Thought</i>,
 <span class='BibJournal'>LMS J. Comput. Math.</span>,
 <em class='BibVolume'>1</em>
 (<span class='BibYear'>1998</span>),
 <span class='BibPages'>9--24 (electronic)</span>.
</p>


<p><a id="biBWWM97" name="biBWWM97"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Mer97</span>]   <b class='BibAuthor'>Merkwitz, W. W.</b>,
 <i class='BibTitle'>Symbolische Multiplikation in nilpotenten Gruppen
                          mit Deep Thought</i>,
 <span class='BibType'>Diplomarbeit</span>,
 <span class='BibSchool'>RWTH Aachen</span>
 (<span class='BibYear'>1997</span>).
</p>


<p><a id="biBRob82" name="biBRob82"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Rob82</span>]   <b class='BibAuthor'>Robinson, D. J.</b>,
 <i class='BibTitle'>A Course in the Theory of Groups</i>,
 <span class='BibPublisher'>Springer-Verlag</span>,
 <span class='BibSeries'>Graduate Texts in Math.</span>,
 <em class='BibVolume'>80</em>,
 <span class='BibAddress'>New York, Heidelberg, Berlin</span>
 (<span class='BibYear'>1982</span>).
</p>


<p><a id="biBSeg83" name="biBSeg83"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Seg83</span>]   <b class='BibAuthor'>Segal, D.</b>,
 <i class='BibTitle'>Polycyclic Groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1983</span>).
</p>


<p><a id="biBSeg90" name="biBSeg90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1069513">Seg90</a></span>]   <b class='BibAuthor'>Segal, D.</b>,
 <i class='BibTitle'>Decidable properties of polycyclic groups</i>,
 <span class='BibJournal'>Proc. London Math. Soc. (3)</span>,
 <em class='BibVolume'>61</em>
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>497-528</span>.
</p>


<p><a id="biBSims94" name="biBSims94"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=95f:20053">Sim94</a></span>]   <b class='BibAuthor'>Sims, C. C.</b>,
 <i class='BibTitle'>Computation with finitely presented groups</i>,
 <span class='BibPublisher'>Cambridge University Press</span>,
 <span class='BibSeries'>Encyclopedia of Mathematics and its Applications</span>,
 <em class='BibVolume'>48</em>,
 <span class='BibAddress'>Cambridge</span>
 (<span class='BibYear'>1994</span>).
</p>


<p><a id="biBMVL90" name="biBMVL90"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=92c:20065">Vau90</a></span>]   <b class='BibAuthor'>Vaughan-Lee, M. R.</b>,
 <i class='BibTitle'>Collection from the left</i>,
 <span class='BibJournal'>J. Symbolic Comput.</span>,
 <em class='BibVolume'>9</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>1990</span>),
 <span class='BibPages'>725--733</span>.
</p>

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