<html><head><title>loops : a GAP 4 package - Index I</title></head> <body text="#000000" bgcolor="#ffffff"> <h1><font face="Gill Sans,Helvetica,Arial">loops</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - Index I</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <dt>Inner mapping groups <a href="CHAP006.htm#SECT006">6.6</a> <dt>InnerMappingGroup <a href="CHAP006.htm#SSEC006.1">6.6.1</a> <dt>Installation <a href="CHAP001.htm#SECT001">1.1</a> <dt>Interesting loops <a href="CHAP009.htm#SECT009">9.9</a> <dt>InterestingLoop <a href="CHAP009.htm#SSEC009.1">9.9.1</a> <dt>Introduction <a href="CHAP001.htm">1.0</a> <dt>Inverse <a href="CHAP005.htm#SSEC003.1">5.3.1</a> <dt>Inverse properties <a href="CHAP007.htm#SECT002">7.2</a> <dt>IsALoop <a href="CHAP007.htm#SSEC007.4">7.7.4</a> <dt>IsAlternative <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsAssociative <a href="CHAP007.htm#SSEC001.1">7.1.1</a> <dt>IsCCLoop <a href="CHAP007.htm#SSEC006.1">7.6.1</a> <dt>IsCLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsCodeLoop <a href="CHAP007.htm#SSEC007.1">7.7.1</a> <dt>IsCommutative <a href="CHAP007.htm#SSEC001.1">7.1.1</a> <dt>IsDiassociative <a href="CHAP007.htm#SSEC001.2">7.1.2</a> <dt>IsDistributive <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>IsEntropic <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>IsExtraLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsFlexible <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsIdempotent <a href="CHAP007.htm#SSEC003.2">7.3.2</a> <dt>IsLCCLoop <a href="CHAP007.htm#SSEC006.1">7.6.1</a> <dt>IsLCLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsLDistributive <a href="CHAP007.htm#SSEC003.4">7.3.4</a> <dt>IsLeftALoop <a href="CHAP007.htm#SSEC007.4">7.7.4</a> <dt>IsLeftAlternative <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsLeftBolLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsLeftBruckLoop <a href="CHAP007.htm#SSEC007.3">7.7.3</a> <dt>IsLeftDistributive <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>IsLeftKLoop <a href="CHAP007.htm#SSEC007.3">7.7.3</a> <dt>IsLeftNuclearSquareLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsLeftPowerAlternative <a href="CHAP007.htm#SSEC005.1">7.5.1</a> <dt>IsLoopCayleyTable <a href="CHAP004.htm#SSEC002.2">4.2.2</a> <dt>IsLoopTable <a href="CHAP004.htm#SSEC002.2">4.2.2</a> <dt>IsMedial <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>IsMiddleALoop <a href="CHAP007.htm#SSEC007.4">7.7.4</a> <dt>IsMiddleNuclearSquareLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsMoufangLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsNilpotent <a href="CHAP006.htm#SSEC010.1">6.10.1</a> <dt>IsNormal <a href="CHAP006.htm#SSEC008.1">6.8.1</a> <dt>IsNuclearSquareLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsomorphicCopyByNormalSubloop <a href="CHAP006.htm#SSEC012.5">6.12.5</a> <dt>IsomorphicCopyByPerm <a href="CHAP006.htm#SSEC012.4">6.12.4</a> <dt>IsomorphismLoops <a href="CHAP006.htm#SSEC012.1">6.12.1</a> <dt>Isomorphisms and automorphisms <a href="CHAP006.htm#SECT012">6.12</a> <dt>IsOsbornLoop <a href="CHAP007.htm#SSEC006.2">7.6.2</a> <dt>IsotopismLoops <a href="CHAP006.htm#SSEC014.1">6.14.1</a> <dt>Isotopisms <a href="CHAP006.htm#SECT014">6.14</a> <dt>IsPowerAlternative <a href="CHAP007.htm#SSEC005.1">7.5.1</a> <dt>IsPowerAssociative <a href="CHAP007.htm#SSEC001.2">7.1.2</a> <dt>IsQuasigroupCayleyTable <a href="CHAP004.htm#SSEC002.1">4.2.1</a> <dt>IsQuasigroupTable <a href="CHAP004.htm#SSEC002.1">4.2.1</a> <dt>IsRCCLoop <a href="CHAP007.htm#SSEC006.1">7.6.1</a> <dt>IsRCLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsRDistributive <a href="CHAP007.htm#SSEC003.4">7.3.4</a> <dt>IsRightALoop <a href="CHAP007.htm#SSEC007.4">7.7.4</a> <dt>IsRightAlternative <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsRightBolLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsRightBruckLoop <a href="CHAP007.htm#SSEC007.3">7.7.3</a> <dt>IsRightDistributive <a href="CHAP007.htm#SSEC003.3">7.3.3</a> <dt>IsRightKLoop <a href="CHAP007.htm#SSEC007.3">7.7.3</a> <dt>IsRightNuclearSquareLoop <a href="CHAP007.htm#SSEC004.1">7.4.1</a> <dt>IsRightPowerAlternative <a href="CHAP007.htm#SSEC005.1">7.5.1</a> <dt>IsSemisymmetric <a href="CHAP007.htm#SSEC003.1">7.3.1</a> <dt>IsSimple <a href="CHAP006.htm#SSEC008.3">6.8.3</a> <dt>IsSolvable <a href="CHAP006.htm#SSEC011.1">6.11.1</a> <dt>IsSteinerLoop <a href="CHAP007.htm#SSEC007.2">7.7.2</a> <dt>IsSteinerQuasigroup <a href="CHAP007.htm#SSEC003.2">7.3.2</a> <dt>IsStronglyNilpotent <a href="CHAP006.htm#SSEC010.2">6.10.2</a> <dt>IsSubloop <a href="CHAP006.htm#SSEC003.2">6.3.2</a> <dt>IsSubquasigroup <a href="CHAP006.htm#SSEC003.2">6.3.2</a> <dt>IsTotallySymmetric <a href="CHAP007.htm#SSEC003.1">7.3.1</a> <dt>IsUnipotent <a href="CHAP007.htm#SSEC003.2">7.3.2</a> <dt>ItpSmallLoop <a href="CHAP009.htm#SSEC010.1">9.10.1</a> </dl><p> [<a href="chapters.htm">Up</a>]<p> <P> <address>loops manual<br>March 2008 </address></body></html>