Specification: Finitely Presented Groups (OSCAR v1.0)

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

In OSCAR v1.0, FPGroup is encoded with a bare _type string and an inline data.X payload that stores the underlying GAP object directly.

Encoding Notes

• Use _type: "FPGroup".
• Store the underlying group description directly under data.X.
• No _refs indirection is used for the ambient group payload.

Canonical Example Payload

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

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.0.5"]},
  "_type": "FPGroup",
  "data": {
    "X": {
      "GapType": "IsSubgroupFpGroup",
      "freeGroup": "9d6b7241-35cf-420b-af0e-ac0d56203e22",
      "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
    }
  },
  "id": "27f61704-d63c-4c45-987a-0890a2fde8ce",
  "_refs": {
    "9d6b7241-35cf-420b-af0e-ac0d56203e22": {
      "_type": "GAP.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
• Subgroup of finitely presented group
• Subgroup of free group