[GAP Forum] About the ColorGroup command in GAP.

[Hongyi Zhao]

Hi GAP team,

On Ubuntu 20.04.3 LTS, I'm using the latest self-compiled git master
version of GAP, and I noticed the following command has been
implemented:

=================
gap> ??ColorGroup
> ColorGroup( <G>, <H> )                                                                                         F

constructs  a  colored  copy of <G>, with color subgroup <H> (which
should have finite index in <G>). Color groups
constructed  in  this  way  are  always  their  own  parent. It is not
possible to set their parent attribute to a
different value.

Groups  which  may  be  colored  include,  in  particular,
`AffineCrystGroups',   but coloring of any finite group
should work as well.
=================

But I can't find any explanation for this command in the GAP -
Reference Manual [1]. OTOH, I want to know if this command can be used
to create all the Magnetic space group as describe here [2].

Any tips will be appreciated.

[1] https://www.gap-system.org/Manuals/doc/ref/manual.pdf
[2] https://en.wikipedia.org/wiki/Magnetic_space_group

Regards
-- 
Assoc. Prof. Hongsheng Zhao <hongyi.zhao at gmail.com>
Theory and Simulation of Materials
Hebei Vocational University of Technology and Engineering
No. 473, Quannan West Street, Xindu District, Xingtai, Hebei province