<html><head><title>[CARAT] 1 Introduction</title></head> <body text="#000000" bgcolor="#ffffff"> [<a href = "chapters.htm">Up</a>] [<a href ="CHAP002.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <h1>1 Introduction</h1><p> <p> <a name = "I0"></a> This package contains GAP interface routines to <font face="Gill Sans,Helvetica,Arial">CARAT</font>, a package of programs for the computation with crystallographic groups. <font face="Gill Sans,Helvetica,Arial">CARAT</font> is implemented in C, and has been developed by J. Opgenorth, W. Plesken, and T. Schulz at Lehrstuhl B für Mathematik, RWTH Aachen. The algorithms used by <font face="Gill Sans,Helvetica,Arial">CARAT</font> are described in <a href="biblio.htm#OPS98"><cite>OPS98</cite></a>. <p> <font face="Gill Sans,Helvetica,Arial">CARAT</font> is to a large extent complementary to the GAP 4 package <font face="Gill Sans,Helvetica,Arial">Cryst</font>. In particular, it provides routines for the computation of normalizers and conjugators of finite unimodular groups in <i>GL</i>(<i>n</i>,<i>Z</i>), and routines for the computation of Bravais groups, which are all missing in <font face="Gill Sans,Helvetica,Arial">Cryst</font>. Furthermore, <font face="Gill Sans,Helvetica,Arial">CARAT</font> provides also a catalogue of Bravais groups up to dimension 6. <font face="Gill Sans,Helvetica,Arial">Cryst</font> automatically loads <font face="Gill Sans,Helvetica,Arial">CARAT</font> when it is available, and makes use of its functions where necessary. The present package thereby extends the functionality of <font face="Gill Sans,Helvetica,Arial">Cryst</font> considerably. <p> <font face="Gill Sans,Helvetica,Arial">CARAT</font> itself is NOT part of this package. However, for your convenience, and with the permission of the <font face="Gill Sans,Helvetica,Arial">CARAT</font> authors, a copy of <font face="Gill Sans,Helvetica,Arial">CARAT</font> has been included. It is this version with which the interface routines have been tested. The most recent version of <font face="Gill Sans,Helvetica,Arial">CARAT</font> can be obtained at the <font face="Gill Sans,Helvetica,Arial">CARAT</font> Home Page <p> <p> <dl compact> <dt><dd> <a href="http://wwwb.math.rwth-aachen.de/carat/">http://wwwb.math.rwth-aachen.de/carat/</a> </dl> <p> The <font face="Gill Sans,Helvetica,Arial">GAP</font> interface routines to <font face="Gill Sans,Helvetica,Arial">CARAT</font> have been written by <p> <p> <dl compact> <dt><dd> Franz Gähler <br> Fakultät für Mathematik <br> Universität Bielefeld <br> Postfach 10 01 31 <br> D-33501 Bielefeld <br> <a href="mailto:gaehler@math.uni-bielefeld.de">gaehler@math.uni-bielefeld.de</a> </dl> <p> to whom bug reports regarding these interface routines should be addressed. <p> Bug reports regarding <font face="Gill Sans,Helvetica,Arial">CARAT</font> itself should be sent to <a href="mailto:carat@momo.math.rwth-aachen.de">carat@momo.math.rwth-aachen.de</a>. <p> <p> [<a href = "chapters.htm">Up</a>] [<a href ="CHAP002.htm">Next</a>] [<a href = "theindex.htm">Index</a>] <P> <address>CARAT manual<br>November 2008 </address></body></html>
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