Specification: Elements 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: Elements of Finitely Presented Groups (OSCAR v1.0), Elements of Finitely Presented Groups (OSCAR v1.1-v1.3)

In OSCAR v1.4 through v1.8, FPGroupElem uses a typed _type object and refers to its parent group through _type.params and _refs.

Encoding Notes

• Use a typed _type object whose name is "FPGroupElem".
• Store the word data under data.
• Refer to the parent group through _type.params.

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": "FPGroupElem", "params": "94e2dba1-75a4-44de-ad6e-561f17757433"},
  "data": ["1", "1"],
  "_refs": {
    "94e2dba1-75a4-44de-ad6e-561f17757433": {"_type": {"name": "FPGroup", "params": "925cf6e0-915d-478d-b842-c92e53d598d2"}, "data": []},
    "925cf6e0-915d-478d-b842-c92e53d598d2": {
      "_type": {"name": "GapObj", "params": "ff663917-4d75-447b-9c9d-0754a3e28e4f"},
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
      }
    },
    "ff663917-4d75-447b-9c9d-0754a3e28e4f": {
      "_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

• Element of finitely presented group
• Element of free group