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rearrange/extend G-set related code #1300

Merged
merged 2 commits into from
May 5, 2022
Merged

rearrange/extend G-set related code #1300

merged 2 commits into from
May 5, 2022

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ThomasBreuer
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  • moved ismaximal, isconjugate_subgroup, maximal_subgroup_reps,
    low_index_subgroups, short_right_transversal, subgroup_reps,
    right_coset_action
    from experimental/GaloisGrp/Group.jl to
    src/Groups/GAPGroups.jl

  • extended action_homomorphism in src/Groups/gsets.jl to cover the
    situation of action_homomorphism in experimental/GaloisGrp/Group.jl

  • added documentation for G-sets related functions

  • changed blocks and maximal_blocks to return G-sets not lists

  • moved the call of __init_JuliaData to Oscar's __init__

TODO:

  • Provide G-set functionality for matrix groups
  • Now orbits and action homomorphisms are computed by giving Julia objects and Julia functions to GAP, which makes everything slower than before, when the objects and functions were translated to GAP. In the "special cases" (which are the most interesting cases) where we can translate the objects/functions, we should either do this or instead do everything without GAP.

- moved `ismaximal`, `isconjugate_subgroup`, `maximal_subgroup_reps`,
  `low_index_subgroups`, `short_right_transversal`, `subgroup_reps`,
  `right_coset_action`
  from `experimental/GaloisGrp/Group.jl` to
  `src/Groups/GAPGroups.jl`

- extended `action_homomorphism` in `src/Groups/gsets.jl` to cover the
  situation of `action_homomorphism` in `experimental/GaloisGrp/Group.jl`

- added documentation for G-sets related functions

- changed `blocks` and `maximal_blocks` to return G-sets not lists

- moved the call of `__init_JuliaData` to Oscar's `__init__`
- added documentation for `permutation`
- added iteration for G-sets, use `collect` instead of `elements`
- renamed
  - `hall_subgroups_representatives` to `hall_subgroup_reps`,
  - `low_index_subgroups` (new function) to `low_index_subgroup_reps`,
  - `representatives_minimal_blocks` to `minimal_block_reps`
- fixed the syntax of some jldoctests (there were no warnings ...)
- removed the comment on GAP's `AllBlocks`
@ThomasBreuer ThomasBreuer merged commit 3471c26 into oscar-system:master May 5, 2022
@ThomasBreuer ThomasBreuer deleted the TB_gsets_galois branch May 5, 2022 14:59
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