<html><head><title>loops : a GAP 4 package - References</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 - References</h1><dl> <dt><a name="Ar"><b>[Ar]</b></a><dd> R. Artzy, <br> <em>On automorphic-inverse properties in loops</em>. Proc. Amer. Math. Soc. 10 (1959), 588--591. <dt><a name="Br"><b>[Br]</b></a><dd> R. Hubert Bruck. <br> A Survey of Binary Systems, third printing, corrected. <em>Ergebnisse der Mathematik und ihrer Grenzgebiete</em>, <em>Neue Folge</em> 20, Springer-Verlag, 1971. <dt><a name="ChPfSm"><b>[ChPfSm]</b></a><dd> O. Chein, H. O. Pflugfelder, J. D. H. Smith (editors). <br> Quasigroups and Loops: Theory and Applications, <em>Sigma Series in Pure Mathematics</em> 8, Heldermann Verlag Berlin, 1990. <dt><a name="CoRo"><b>[CoRo]</b></a><dd> Charles J. Colbourn and Alexander Rosa. <br> Triple systems, <em>Oxford Mathematical Monographs</em>, The Clarendon Press, Oxford University Press, New York, 1999. <dt><a name="CsDr"><b>[CsDr]</b></a><dd> Piroska Csörgö and Ale\vs Drápal. <br> <em>Left conjugacy closed loops of nilpotency class two</em>, Results Math. 47 (2005), no. 3--4, 242--265. <dt><a name="DrVo"><b>[DrVo]</b></a><dd> Ale\vs Drápal and Petr Vojt\vechovský. <br> <em>Moufang loops that share associator and three quarters of their multiplication tables</em>, Rocky Mountain Journal of Mathematics 36 (2006), no. 2, 425--455. <dt><a name="Fe"><b>[Fe]</b></a><dd> Ferenc Fenyves. <br> <em>Extra loops II, On loops with identities of Bol-Moufang type</em>, Publ. Math. Debrecen 16(1969), 187--192. <dt><a name="Go"><b>[Go]</b></a><dd> Edgar G. Goodaire, Sean May and Maitreyi Raman. <br> The Moufang loops of order less than 64, Commack, NY: Nova Science Publishers, 1999. <dt><a name="KiKuPh"><b>[KiKuPh]</b></a><dd> Michael K. Kinyon, Kenneth Kunen, and J. D. Phillips, <br> <em>Every diassociative A-loop is Moufang</em>, Proc. Amer. Math. Soc. 130 (2002), 619--624. <dt><a name="Ku"><b>[Ku]</b></a><dd> Kenneth Kunen. <br> <em>The structure of conjugacy closed loops</em>, Trans. Amer. Math. Soc. 352 (2000), 2889--2911. <dt><a name="Li"><b>[Li]</b></a><dd> M. Liebeck. <br> <em>The classification of finite simple Moufang loops</em>, Math. Proc. Cambridge Philos. Soc. 102 (1987), 33--47. <dt><a name="Mo"><b>[Mo]</b></a><dd> G. Eric Moorhouse. <br> <em>Bol loops of small order</em>, http://www.uwyo.edu/moorhouse/pub/bol/ <dt><a name="Na"><b>[Na]</b></a><dd> Gábor P. Nagy, <br> <em>A class of simple proper Bol loops</em>, preprint. <dt><a name="NaVo2003"><b>[NaVo2003]</b></a><dd> Gábor P. Nagy and Petr Vojt\vechovský. <br> <em>Octonions, simple Moufang loops and triality</em>, Quasigroups and Related Systems 10 (2003), 65--94. <dt><a name="NaVo2007"><b>[NaVo2007]</b></a><dd> Gábor P. Nagy and Petr Vojt\vechovský. <br> <em>The Moufang loops of order 64 and 81</em>, to appear in Journal of Symbolic Computation. <dt><a name="Pf"><b>[Pf]</b></a><dd> Hala O. Pflugfelder. <br> Quasigroups and Loops: Introduction, <em>Sigma Series in Pure Mathematics</em> 7, Heldermann Verlag Berlin, 1990. <dt><a name="PhVo"><b>[PhVo]</b></a><dd> J. D. Phillips and Petr Vojt\vechovský. <br> <em>Varieties of loops of Bol-Moufang type</em>, Algebra Universalis 54 (2005), no. 3, 259--271. <dt><a name="Vo"><b>[Vo]</b></a><dd> Petr Vojt\vechovský. <br> <em>Toward the classification of Moufang loops of order 64</em>, European Journal of Combinatorics 27, issue 3 (April 2006), 444-460. <dt><a name="Wi"><b>[Wi]</b></a><dd> R. L. Wilson, Jr. <br> <em>Quasidirect products of quasigroups</em>, Comm. Algebra 3 (1975), 835--850. </dl><p> [<a href="chapters.htm">Up</a>]<p> <P> <address>loops manual<br>March 2008 </address></body></html>