This package provides GAP interface routines to some of the standalone
programs of the package CARAT, developed by J. Opgenorth, W. Plesken, and T.
Schulz at Lehrstuhl B für Mathematik, RWTH Aachen. CARAT is a package for
computation with crystallographic groups.
CARAT is to a large extent complementary to the GAP 4 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,
it provides a catalog of Bravais groups up to dimension 6. Cryst
automatically loads Carat when it is available, and makes use of its functions
where necessary. The Carat package thereby extends the functionality of the
package Cryst considerably.
