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

SubFPGroup is currently documented in the OSCAR v1.7 profile through the rosetta-stone corpus. This page records the present encoding shape and should be read as a profile-specific type description.

Encoding Notes

• Set _type to "SubFPGroup" when this type appears at the root of a serialized object.
• Interpret the payload under data according to the active namespace and profile version.
• Follow the linked examples for the currently documented payload shape and referenced ambient objects.

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": "SubFPGroup", "params": "780bfc41-6ee1-4245-ad8c-31c1e9845519"},
  "data": [],
  "id": "43d2f413-38da-4d7f-ba33-7d4f41a82fd2",
  "_refs": {
    "780bfc41-6ee1-4245-ad8c-31c1e9845519": {
      "_type": {"name": "GapObj", "params": "24ee376e-2eec-4857-b7c8-cd959d563ace"},
      "data": {"GapType": "IsSubgroupFpGroup", "gens": [["1", "1"]]}
    },
    "24ee376e-2eec-4857-b7c8-cd959d563ace": {
      "_type": {"name": "GapObj", "params": "8135b959-ad6a-402f-b3a4-2552ccfc5b78"},
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
      }
    },
    "8135b959-ad6a-402f-b3a4-2552ccfc5b78": {
      "_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

• Subgroup of finitely presented group
• Subgroup of free group