Specification: Permutation Groups (OSCAR v1.4-v1.5)

Profiles: OSCAR v1.4, OSCAR v1.5 Other versions: Permutation Groups (OSCAR v1.0-v1.1), Permutation Groups (OSCAR v1.2-v1.3), Permutation Groups (OSCAR v1.6-v1.8)

In OSCAR v1.4 and v1.5, PermGroup moves attributes out of data into a top-level attrs dictionary, while the root type is still the bare string "PermGroup".

Encoding Notes

• Use _type: "PermGroup".
• Store the degree and generators under data.
• Store group attributes under top-level attrs.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.5.1"]},
  "_type": "PermGroup",
  "data": {"degree": "5", "gens": [["2", "1"], ["1", "2", "4", "3"], ["3", "4", "1", "2"]]},
  "attrs": {
    "order": {"_type": "ZZRingElem", "data": "8"},
    "is_nilpotent": {"_type": "Bool", "data": "true"},
    "is_perfect": {"_type": "Bool", "data": "false"},
    "is_solvable": {"_type": "Bool", "data": "true"}
  },
  "id": "6d2ecd31-e674-4dc7-ae62-6700ed18e121"
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Subgroup of symmetric group
• Symmetric group