Program Bravais_inclusions
Usage
Bravais_inclusions 'file' [-S] [-G]
file: bravais_TYP containing a Bravais group G.
Description
Lists representatives of the Bravais subgroups (resp. Bravais supergroups
with option -S) of the BRAVAIS GROUP G under the conjugation action of
the normalizer of G in GL_n(Z).
Remark: Without option -G only the symbols of the Bravais groups are given.
Options
-S:   Search for all supergroups
-G:   Calculate generators for the groups as well
Remarks
See also for Bravais_catalog/Datei
and Bravais_type/Symbol
Examples
- List all names of Bravais groups of degree 4.
-  Determine the maximal finite subgroups of GL5(Z)
-  Find the dual pairs of Bravais groups in family 1;1;1;1
-  Find all Bravaisgroups of degree 6 consisting of permutation
matrices and their negatives only.
-  Do two given groups have Z-equivalent copies which lie in a
finite unimodular group?