Quelle introduction.tex Sprache: Latech

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\Chapter{Introduction}

\index{caratinterface}

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 f\accent127ur
Mathematik, RWTH Aachen. The algorithms used by {\CARAT} are described
in \cite{OPS98}.

{\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

\beginitems
&
\URL{https://lbfm-rwth.github.io/carat}.
\enditems

The {\GAP} interface routines to {\CARAT} have been written by

\beginitems
&
Franz G\accent127ahler\hfill\break
Fakult\accent127at f\accent127ur Mathematik\hfill\break
Universit\accent127at Bielefeld\hfill\break
Postfach 10 01 31\hfill\break
D-33501 Bielefeld\hfill\break
\Mailto{gaehler@math.uni-bielefeld.de}
\enditems

For bug reports, suggestions and comments regarding the interface routines,
please use the issue tracker on GitHub:

\beginitems
&
\URL{https://github.com/gap-packages/CaratInterface/issues/}
\enditems

Bug reports regarding {\CARAT} itself should be reported in the
{\CARAT} issue tracker on GitHub:

\beginitems
&
\URL{https://github.com/lbfm-rwth/carat/issues/}
\enditems

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