Specification: Finitely Presented Groups (OSCAR v1.4-v1.8)

Profiles: OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8 Other versions: Finitely Presented Groups (OSCAR v1.0), Finitely Presented Groups (OSCAR v1.1-v1.3)

In OSCAR v1.4 through v1.8, FPGroup moves to a typed _type object and the ambient GAP data is carried through _type.params and _refs.

Encoding Notes

• Use a typed _type object whose name is "FPGroup".
• Store the parent-group reference inside _type.params.
• The root data payload is empty; the ambient GAP object is resolved through _refs.

Canonical Example Payload

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

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": {"name": "FPGroup", "params": "bc9f8def-3a9d-47ab-84c6-6f8fc42b45ad"},
  "data": [],
  "id": "8cf85619-399c-4273-abc2-7984ad3520b3",
  "_refs": {
    "bc9f8def-3a9d-47ab-84c6-6f8fc42b45ad": {
      "_type": {"name": "GapObj", "params": "fc92916c-3c6b-4d78-9469-81d79731a385"},
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
      }
    },
    "fc92916c-3c6b-4d78-9469-81d79731a385": {
      "_type": "GapObj",
      "data": {"GapType": "IsFreeGroup", "wfilt": "IsLetterWordsFamily", "names": ["f1", "f2"]}
    }
  }
}

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

• Finitely presented group
• Free group