[GAP Forum] About the ColorGroup command in GAP.

[Thomas Breuer]

Dear Hongsheng Zhao,

the function 'ColorGroup' belongs to the GAP package 'Cryst',
its documentation belongs to the manual of this package.

More information about the context of 'ColorGroup' can be found
at the beginning of the section 'Color groups' of this package manual.
(Either enter '?Color groups' in the GAP session, or scroll up in the
pager that gets started when you enter '?ColorGroup'.)

All the best
Thomas


On Wed, Apr 27, 2022 at 09:52:32PM +0800, Hongyi Zhao wrote:
> 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
> 
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