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<h1>1 Introduction</h1>

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The package CaratInterface contains GAP interface routines to CARAT,
a package of programs for the computation with crystallographic
groups. CARAT 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 CARAT are described
in <a href="biblio.htm#OPS98"><cite>OPS98</cite></a>.

CARAT is to a large extent complementary to the GAP package
Cryst. In particular, it provides routines for the computation
of normalizers and conjugators of finite unimodular groups in GL(n,Z),
and routines for the computation of Bravais groups, which are all
missing in Cryst. Furthermore, CARAT provides also a catalogue of
Bravais groups up to dimension 6. Cryst automatically loads CARAT
when it is available, and makes use of its functions where necessary.
The present package thereby extends the functionality of Cryst
considerably.

CARAT itself is NOT part of this package. However, for your convenience,
and in accordance with the CARAT license, a copy of CARAT is
included. It is this version with which the interface routines
have been tested. The most recent version of CARAT can be obtained at
its home page


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<dt><dd>
<a href="https://lbfm-rwth.github.io/carat">https://lbfm-rwth.github.io/carat</a>.
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The GAP interface routines to CARAT have been written by


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<dt><dd>
Franz Gähler 
Fakultät für Mathematik 
Universität Bielefeld 
Postfach 10 01 31 
D-33501 Bielefeld 
<a href="mailto:gaehler@math.uni-bielefeld.de">gaehler@math.uni-bielefeld.de</a>
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For bug reports, suggestions and comments regarding the interface routines,
please use the issue tracker on GitHub:


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<dt><dd>
<a href="https://github.com/gap-packages/CaratInterface/issues/">https://github.com/gap-packages/CaratInterface/issues/</a>
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Bug reports regarding CARAT itself should be reported in the
CARAT issue tracker on GitHub:


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<dt><dd>
<a href="https://github.com/lbfm-rwth/carat/issues/">https://github.com/lbfm-rwth/carat/issues/</a>
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<address>CaratInterface manual Oktober 2024
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