Added colored and signed permutations

[tscrim]

Currently we do not have classes for colored nor signed permutations. Implemented as a group by using the wreath product construction.

CC: @sagetrac-sage-combinat @stumpc5 @AndrewAtLarge @fchapoton @kevindilks

Component: combinatorics

Keywords: permutations, complex reflection groups

Author: Travis Scrimshaw

Branch/Commit: 4595847

Reviewer: Kevin Dilks

Issue created by migration from https://trac.sagemath.org/ticket/17411

[tscrim]

Branch: public/combinat/colored_permutation_groups-17411

[tscrim]

New commits:

f1aa77e	Initial implementation of colored permutations.
2737b19	Merge branch 'develop' into public/combinat/colored_permutation_groups-TBA
7525680	Fixing things and added full coverage.
184b4f9	Added some more methods and some comments.

[tscrim]

Commit: 184b4f9

[videlec]

comment:2

Hi Travis,

I think it is needed to have ._gap_() implemented on all these wreath product constructions. I am trying to do that right now.

Vincent

[tscrim]

comment:3

Hey Vincent,

I agree that we probably should have a _gap_ method. Were you able to add that code?

[tscrim]

comment:4

See also #16010 for specialized code on signed permutations.

[fchapoton]

comment:5

One failing doctest, see patchbot report