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<h1>ANUPQ</h1>


<h2>ANU p-Quotientjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

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<p>
    
            <strong class="pkg">ANUPQ</strong> is maintained by <span class="URL"><a href="mailto:mhorn@rptu.de">Max
            For support requests, please use <span class="URL"><a href="https">our issue tracker</a></span>.
            
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<p><b>
    Greg Gamble



  </b</pan/div>
<br />Email: <span class="URL"><a href="mailto:Greg.Gamble@uwa.edu.au">Greg.Gamble@uwa.edu.au</a></span>
< >: < /DepartmentofMathematics andStatistics<r /> Curtinbr> Box8< >Perth  6845br><br /
</p><p><b>
    Werner Nickel

  </b>
</p><p><b>
    Eamonn O'Brien




  </b>
<br />Email/span
<br />Homepagedivclass"spanclass"">nbsp>. span">Authors and Acknowledgements/a>
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</p>

<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2001-2016 by Greg Gamble</p>

<p>© 2001-2005 by Werner Nickel</p>

</div>

<p>The<div =""><ahrefchap2_mj> <span ="Heading"Mathematical and Terminologyspan>

<p><a id>

<divclass>
<h3>Contents<a<span class="Co">
span="nocss;;/><a =chap2_mj.#X7BD675838609D547  =Heading Presentations Consistency></a>

<div class="ContChap"><a href="chap1_mj.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
< classContSect<span class=tocline class"&ahref=chap1_mjhtml#839AD927B74BA4A">1. span="">Overview></>
</span>
</div>
iv ="ContSect"< classtocline class"&;.htmlX8416D2657E7831A1"12 to read manual/>
</spanspan=""><br><spanclass&; span="chap2_mj.html#">2.-3span=""><span="impleMath">(\<span-, <span ="SimpleMath">\p)/>-Multiplicator></>
</divjava.lang.StringIndexOutOfBoundsException: Index 6 out of bounds for length 6
<iv="ContSect"><span=toclinespan class="" </spanhref.html#X79D2480A7810A7CC"1 spanclass=Heading"Authors/pan
</span>
</div>
</div>
<div class="ContChap"><a href="chap2_mj.html#X7E7F3B617F42EF03">2 <span class="Heading">Mathematical Background and Terminology</span></a>
< classContSect classtocline classnocss;</spanhrefhtml"21 notions/>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2_mj.html#X7BD675838609D547">2.1-1 <span class=div="ContSect">spantocline
<>
<span class="ContSS"><br /><span class="nocss">  >
<>
<span class="ContSS"><br /><span class>
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</span class"2. Heading generationStandard
<span Testing></>
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<div classclass".#97> span="Heading>/>/>
<
<div class="ContSSBlock
< ""><br><pan="nocss">nbsp;</spana ="chap2_mj.#X791EB6F77899CB3D">2.-1 <span="Heading">Findingthe <span="SimpleMath">\p\)/pan>-</span/>
</span>
<span class="ContSS"><br<span
</span>
<span class="ContSS"><br /><span class="nocss">  </span><a hrefspanclass>br/<span class"&;nbsp.2-1 ANUPQData
/>
</div></div>
< classspan=""><span="nocss"> /><a hrefhtmljava.lang.StringIndexOutOfBoundsException: Range [118, 117) out of bounds for length 202
Isomorphism Testing</span></a>
</span>
</div>
</div>
<div class="ContChap"><a href<span
<div class="ContSect"><span class">br/>spanclass""&;nbsp;span>3.3-1 InfoANUPQ</a></span>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span>/>
<span
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap3_mj.html#X7B90E89782BDA6D7">3.2-1 ANUPQData</a></span>
< class"ontSS>br/< class=; <>.- ANUPQDirectoryTemporary
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap3_mj.html#
  >3.- PqGAPRelators<span
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href=">br/>span="nocss"> </pan><a ="chap3_mj.html#">3.4-3 PqParseWord/a>span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </<pan=""><br /< class"  3- AllPqExamples/pan
</span
<div class="ContSSBlock">
<span < class"ContSS>br />span class="">  .47ToPQLog/spanjava.lang.StringIndexOutOfBoundsException: Index 132 out of bounds for length 132
< ""< >span">  ahref".htmlX7A567432879510A6- PqGAPRelatorsspan
< class"br/span=nocss">&; ><a href"chap3_mj.html#X7F3C5D1C7EC36EAE">.4 PqParseWord/>
<span class="ContSS"><br /div/>
<pan=""><br >span=""> </span><hrefX823C93FC7B87F5BC345AllPqExamples</>/>
<span ="ContSS">br/<span="nocss">nbsp/pan=chap3_mj#X7E3E4B047DC2E323"34- GrepPqExamples
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<div ="ContSect">spanclass> classnocss spanhref=chap3_mjX818175EF85CAA807.< class="Heading">Attributes and a Property fp and p-groups/span
</span>
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<divclass"< ="ocline"nocssnbspspan.#X7BA20FA07B166B3736< ="and Warningsregarding the use of Options
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<div class="ContChap"><a href="chap4_mj.html#X7C51F26D839279FF">4 <span class"< >spanclass=""&;nbsphtml"4- />/pan
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</span>
<div class="ContSSBlock">
<span class="ContSS"><div/>
<span="ContSS">br>span="ocss>&bsp; .htmlX7ADE5DDB87B99CC0- PqEpimorphism</span
<span="ContSS"<br /><span="nocss" &;</spanhref#> PqPCover<a<span
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<div class="ContSect"><span class<div class"ContSSBlock"
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<div class="ContSSBlock">
<pan=""><br ><span ="nocss">nbsp;</><a hrefchap4_mjjava.lang.StringIndexOutOfBoundsException: Range [107, 106) out of bounds for length 158
<span class="ContSS"><br />< class"< =tocline>span =nocss>nbsp. < classHeading">Testing p-Groups for Isomorphism
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap4_mj.html#X8030FAE586423615">4.3 <span class="Heading">Testing p-Groups for Isomorphism</span></a>
<span
<div/div></div
< class"br>span ""&;nbsp.-1/>/pan>
</div></div>
<div class ="ContSSBlock">
<span
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X80985CC479CD9FA3">4.4-1span="ContSS"><br/<pan=""> </><a="chap4_mj.#X79AD54E987FCACBA>.- PqList/>/pan
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap4_mj.html#X8364566A80A8C24B">4.4-2 PqSupplementInnerAutomorphismsdiv/>
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<span class="ContSS"><br < class"< =tocline"< classnocss&;</span> hrefX7935CDAD7936CA0A1 class"Starting and Stopping InteractiveANUPQ />
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< =ContChap=html> < classHeading ANUPQ</span>
<div class="ContSect"><span class" nbsp;/>hap5_mjhtml">5.1-1
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nbsp&;/>a =".htmlX7FF8F2657B1B008E>.3 />/>
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<div class="ContSect"><span class/panjava.lang.StringIndexOutOfBoundsException: Range [7, 8) out of bounds for length 7
</span
<div class="ContSSBlock">
< classContSS/<span class="nocss"&;nbspa=chap5_mj#X8558B20A80B999AE"5.2- PqProcessIndex
<span class="ContSS"><br /><span class="nocss>nbsp&< ="hap5_mj.htmlX7C103DF78435AEC723IsPqProcessAlive/>
<span class="ContSS"><br /><< class> class"< =""> .htmlX823D2BBF7C4515D43span">Interactive Versions of Non-interactiveANUPQFunctions
</div></div>
<div class="ContSect"><span class=tocline< class"> a ="chap5_mjhtml">5. span class="HeadingInteractiveof <span>
</span>
<divspan="ContSS">br/< class=nocss; /pan>ahrefhtml"532PqEpimorphism
<< class"ContSS"< /span">  .- <a>/pan
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<span class="ContSS"><br /><span class="nocss">  </span><a href class>br /< classnocss; ><a ="chap5_mj.#X791392977B2D692D>.- EpimorphismPqStandardPresentation
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  5.- PqDescendants<span
span=ContSSbr>span="nocss"nbsp<>ahref.htmlX791392977B2D692D3 //
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X857F050C832A1FE4">5.4 <span class="Heading">Low-level Interactive program</></a>
pq</pana>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X868B10557D470CF6">5.5 <span class="Heading">General commands</span></a>
<span
<div classspan ="ContSS"<br >< classnocssnbsp&;</spanhref=chap5_mjX87FF98867E8FFB3C.- PqFactoredOrder<a<span
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X87FF98867E8FFB3C">5.5-2 PqFactoredOrder</a></span>
<span="ContSS"< />span="nocss>nbsp&;/pan< ="hap5_mj.#X7B4FC9E380001A71.5-3a>/span
<span class="ContSS"><br /><span class="nocss"> span="ContSS">< /><panclass="nocss">  </span><a href="chap5_mj.html#X7EA3B6917908C20A">5.5-5 PqWeight</a></span>
<span class="ContSS"><br /><span class="nocss">&<span class"ContSS"<br/< class"nocss>nbsp;nbsp;spanchap5_mj.#X79862B83817E20E16PqCurrentGroup/>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X80410979854280E1">5.5-8 PqSetOutputLevel</a></span>
< class">"> nbsp.-9 PqEvaluateIdentities/a>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5_mj.html#X7BDD5B278719C630">5.6 <span class="Heading">Commands from the Main <span class="SimpleMath">\(p\)</span>-Quotient menu</span></a>
</span
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X7BF135DD84A781EB">5.6-1 PqPcPresentation</a></span>
<spanclass="ontSS"b >span="nocss"> </span<="chap5_mj.htmlX7D947CEA82C44898">5.6-2 PqSavePcPresentation</a></span>
< class"< >spanclass=nocss"&;&bspahref.htmlX7FD001C0798EF219"5.-
<span class="ContSS"><<pan="ontSS>br/5.62 PqSavePcPresentation/>
< classContSS /span="nocss>nbsp&;/pan>a =".html#X7CF9DF7A84D387CB">5.6-5 PqComputePCover
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<div class="ContSect"><span class="tocline"><span class="nocss"> span classContSS<r/<span class=nocss; spanhref.#>.- PqNextClass<a>/>
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<span class""><br />< class>; ><a href.#63507CA41157- PqCollect/a></>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X86CCB77281FDC0FC">5.7-2 PqSolveEquation</a></span>
<span class="ContSS"divclass="ContSect"<span="tocline"<span classnocss&;</spana="chap5_mj.tmlX7D27BE937B1DE16E"57< classHeading from Advancedspan<span menuspan<a
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<span="ContSS">br/><span ="nocss">  </span><a href="chap5_mj.html#X84F7DD8582B368D3">5.7-5 PqTails</a></span>
< class"< >spanclass=nocss>nbsp&;/panchap5_mj#X8389F6437ED634B8.7-6 PqComputeTailsa</span
<span class="ContSS"><br /><span classspanclassContSS/<span="nocss">nbsp;</><a ="chap5_mj.html#X789B120B7E2F3017">53PqCommutator</>
< class><br /><spanclass"">&bsp;</span="chap5_mjhtml#8AA8FAE85826BB9"5- </a><span
< classContSS /span="nocss"&;&bsp<ahref.html">5.79PqCollectDefiningRelations/>
<span class="span class="ContSS/<pannocss">nbsp;nbsp;chap5_mj.#X8389F6437ED634B87 />/pan
span=ContSS/< class"&;nbsp;/pan< =chap5_mj.htmlX83CD6D888372DFB8"57-7PqAddTails/>
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<span class="ContSS"><br /><span class="spanclass="ContSSbr>spannocss&;/pan=chap5_mj#">5.710PqCollectWordInDefiningGenerators<>/>
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.76 PqSetMetabelian
<span class="ContSS"><br /><span class="nocss">  </span><a href class=ContSS>spanclass&; /><a ="chap5_mj.#X8265A6DB81CD24DB"571 </a><span
<span=""><br/<span="nocss>nbsp&;/>ahref=chap5_mjhtmlX843953F48319FDE1>.78 />/>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X80344EEC78A09ACF">5.7-19 PqEchelonise</a></span>
<panclass< /<span="nocss>nbsp&;<>.X852947327FC39DDF72 </a><span
<span class="ContSS"><br /><span class classContSS /spanclass>nbsp;</><a hrefhtml">.-1
<span="ContSS"< /< classnocss; ><a ="chap5_mj.htmlX7CFD54657DE4BD39>.-2PqApplyAutomorphisms
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< classContSS >spanclass> &;</span href".html#X853834B478C4EEE2>.-4PqDisplayAutomorphisms
<span class="ContSS"><br /><span class="nocss">  ="ContSS">br/< class"&;nbsp;/pan>a href=htmlX7CFD54657DE4BD39"5722PqApplyAutomorphisms/>
</div<div>
<div class="ContSect"><span classspan=>br> classnocss; /><a =".html#">- </a>span
</span>
<div class="ContSSBlock"< class=ContSSbr< class">  chap5_mj#X80687A138626EB2D.- PqWritePcPresentationspan
span="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X78D1963D85C71B7B">5.8-1 PqSPComputePcpAndPCover/a></span
< class""><br><spanclass>nbsp;</><a href=".html#X876F30187E89E467">5.-2 PqSPStandardPresentation><span
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X7E1B2B088322F48A">5.8-3 PqSPSavePresentation</<span
span=> >span ="nocss">nbsp/>a".html#1>.84 PqSPCompareTwoFilePresentations
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<divspan="ContSS">br<class"> nbsp;/>chap5_mj#X81D2F9FF7C241D1E84PqSPCompareTwoFilePresentations</span
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<span class=<span
<span class="ContSS"><br /><span class="nocss">  </span><ahref"chap5_mj.html#X87F251077C65B6DD">5.9-2 PqPGExtendAutomorphisms</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><span class"< >span class">nbsp;</spana ="chap5_mj.htmlX794A8D667A9D725A">5.9-1 PqPGSupplyAutomorphisms</a></span>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X7E539E4B78A6CE8D">5.10-1 PqAPGDegree</a></span>
<spanclass">br/><br /><span class="nocss">  </span><a href="chap5_mj.html#X7DD9E7507AA888CC">5.10-3 PqAPGOrbits</a></span>
<span class="ContSS">div="ContSSBlock"
<span ="ContSS">br/< classnocss"> nbsp;/>ahref=chap5_mj.tmlX7E5D6D5782FE190E"51- <>/>
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<div class="ContSect"><span class="tocline"><span class>br>span=""> </><a ="chap5_mj.htmlX7F1182A77AB7650C"51- </a>/span
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<div class="ContSSBlock">
<span= /span=""> </><a ="chap5_mj.#X8464AF7E83A523C1>.11 PqRead/>/pan>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5_mj.html#X7ADD82207D049A87">5.11-2 PqReadAll</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href=< class="ContSS">br />span="nocss">nbsp;</><a href.#E5D6D5782FE190E51- PqAPGSingleStage>span
<span="ContSS">br/<span">  chap5_mj.html#X83CBE77F78057E21">5.11-4 PqWrite
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