Specification: Finitely Presented Groups (OSCAR v1.1-v1.3)

Profiles: OSCAR v1.1, OSCAR v1.2, OSCAR v1.3 Other versions: Finitely Presented Groups (OSCAR v1.0), Finitely Presented Groups (OSCAR v1.4-v1.8)

In OSCAR v1.1 through v1.3, FPGroup still uses the bare type name "FPGroup", but the ambient GAP object moves into _refs and data.X becomes a reference id.

Encoding Notes

• Use _type: "FPGroup".
• Store the group payload under data.X as a reference id.
• Resolve that reference 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", "1.3.1"]},
  "_type": "FPGroup",
  "data": {"X": "c57e5e90-4c23-451b-88f9-6abb8beed157"},
  "id": "7d1ba779-386a-4ac8-8951-ed10ebe2b62b",
  "_refs": {
    "c57e5e90-4c23-451b-88f9-6abb8beed157": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "freeGroup": "ab8c0b55-5202-42c6-add0-acf159a80a0f",
        "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
      }
    },
    "ab8c0b55-5202-42c6-add0-acf159a80a0f": {
      "_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