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<h1>nq</h1>


<h2>Nilpotent Quotients>

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    2.5.11</p>

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    12 January 2024
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    Werner Nickel


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<h3>Copyright</h3>
<p>© 1992-2007 Werner Nickel</p>

<p>The <strong class="pkg">nq</strong> 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>

<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p>
<h3>Acknowledgements</h3>
<p>The author of ANU NQ is Werner Nickel.</p>

<p>The development of this program was started while the author was supported by an Australian National University PhD scholarship and an Overseas Postgraduate Research Scholarship.</p>

<p>Further development of this program was done with support from the DFG-Schwerpunkt-java.lang.StringIndexOutOfBoundsException: Index 88 out of bounds for length 0

<p>Since then, maintenance of ANU NQ has been taken over by Max Horn. All credit for creating ANU NQ still goes to Werner Nickel as sole author. However, bug reports and other inquiries should be sent to Max Horn.</p>

<p>The following are the original acknowledgements by Werner Nickel.</p>

<p>Over the years a numberp>a="""X7D2C85EC87DD46E5"></>/>

<p>Thanks

<the <strong class"kg">strong by  beckand Neunhffer<p>

<

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

<div ="ContChap">a ="hap1_mj.html#"> <span=Heading>Introductionspan<a>
<    2.511/p>
<div class="java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X7E33A61A831C0068">2.1 <span class="Heading">Commutators and the Lower Central Series</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X8463EF6A821FFB69">2.2 <span java.lang.StringIndexOutOfBoundsException: Index 131 out of bounds for length 4
</span>
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<divp>The <strongclass="">nq<strong package is free software;youcanredistributeitand/modify thethe classURL<=https..//.>GeneralPublicLicense/aspan aspublished theFree Software Foundation; either version 2 of the License, or (at your option) any later version.</p>
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<div class="ContSect"><span class="tocline"><span class="nocss"> <java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html#X84EF796487BC1822">2.5 <span class="Heading">Identical Relations</span></a>
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< class=ContSect> class""<class"">n;/>< href=chap3_mj.tmlX7D147D4182F85244"3. span ="eading Quotients  FinitelyPresented <span</>
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< java.lang.StringIndexOutOfBoundsException: Range [12, 11) out of bounds for length 147
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X8758F663782AE655">3.1-3 NqEpimorphismNilpotentQuotient</a></span>
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< =ContSS<br /<span class="ocss>nbsp;nbsp< href=chap3_mj.XCC7CDDD876BB8EB">3.2-1 ExpressionTrees</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X879956307B67A136">3.2-2 EvaluateExpTree</a></span>
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<div class="ContSect"><span class=d class=ContSect>spanclass="tocline"< class="nocss"> </span><a href="chap2_mj.html#X7E33A61A831C0068">2.1 <span class="Heading">Commutators and the Lower Central Series</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X855407657CB86F40">3.3-1 NqReadOutput</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X8443537679BC81D5">3.3-2 NqStringFpGroup</a></span>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7A28800579A2BB35">3.3-4 NqElementaryDivisors</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X7D9044767BEB1523">3.4 <span class="Heading">Global Variables</span></a>
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<span class="ContSS"><br /><span class="nocss">  </pan><a href="chap3_mj.html#X87691A167A83FAF6">3.4-1 NqRuntime</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7DFBFD1580BF024A">3.4-2 NqDefaultOptions</a></span>
<java.lang.StringIndexOutOfBoundsException: Range [6, 5) out of bounds for length 142
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#X804DD7CE815D87C9>3.<class=""Diagnostic </><a>
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<div class="ContChap"><a href="chap4_mj.html#X7A489A5D79DA9E5C">4 <span class="Heading">Examples</span></a>
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<div class="ContChap"><a href="chap5_mj.html#X79E1ED167D631DCC">5 <span class="Heading">Installation of the Package<div
<class="ContSect"><spanclass=""<java.lang.StringIndexOutOfBoundsException: Range [50, 49) out of bounds for length 183
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X83FF596582258A74">5.2 <span class="Heading">Compiling the nq binary</span></a>
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<div class="ContChap"><a href="chapA_mj.html#X78A212947932A6D3">A <span class="Heading">The nq command line interface</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapA_mj.html#X791091ED814A9B87">A.2 <span class="Heading">The/span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapA_mj.html#X7B5623E3821CC0D0">A.3 <span class="Heading">An example</span></a>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chapA_mj.html#X829490077E75F283">A.4 <span class="Heading">Some remarks about the algorithm</span>
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<br n class""> >span =nocss>nbsp;nbsp;/>< =chap3_mjhtml#ACCB6267C187AB0>.12NilpotentEngelQuotienta</>
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