The Package <font face="Gill Sans,Helvetica,Arial">Nilmat</font> is a <font face="Gill Sans,Helvetica,Arial">GAP</font> code only package and requires
no external binaries.
<p>
Once <font face="Gill Sans,Helvetica,Arial">Nilmat</font> is loaded, calls to the <font face="Gill Sans,Helvetica,Arial">GAP</font> functions
<code>IsNilpotent</code>, <code>IsNilpotentGroup</code>, <code>SylowSubgroup</code>, and
<code>SylowSystem</code> for subgroups of <i>GL</i>(<i>n</i>,<i>q</i>), and calls to
<code>IsNilpotent</code>, <code>IsNilpotentGroup</code>, and <code>IsFinite</code> for subgroups of
<i>GL</i>(<i>n</i>,<b>Q</b>), automatically switch to corresponding functions
from <font face="Gill Sans,Helvetica,Arial">Nilmat</font>. Thus <font face="Gill Sans,Helvetica,Arial">Nilmat</font> should be disabled if
one wishes to use the former <font face="Gill Sans,Helvetica,Arial">GAP</font> functions for matrix groups
over <i>GF</i>(<i>q</i>) or <b>Q</b>.
<p>
For testing nilpotency and finiteness over <b>Q</b>, the <font face="Gill Sans,Helvetica,Arial">GAP</font>
package <font face="Gill Sans,Helvetica,Arial">Polenta</font> is also required. Note that <code>Nilmat</code>
does not use functions from <font face="Gill Sans,Helvetica,Arial">Polenta</font> which depend on
<code>KASH</code>. Hence to use <font face="Gill Sans,Helvetica,Arial">Nilmat</font>, <code>KASH</code> installation is not
required, and all <font face="Gill Sans,Helvetica,Arial">Nilmat</font> functions run under both
Windows and Linux.
<p>
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<P>
<address>Nilmat manual<br>August 2022
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