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

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

In OSCAR v1.1 through v1.3, SubFPGroup uses the bare type name "SubFPGroup" and records the ambient parent by reference through _refs.

Encoding Notes

• Use _type: "SubFPGroup".
• Store subgroup data under data.
• Refer to the parent group 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": "SubFPGroup",
  "data": {"X": "f69216cd-8a91-44d6-a8e3-41821a504cb2"},
  "id": "45ad0ebf-2b69-4f74-a2fb-387b28d1c6c5",
  "_refs": {
    "f69216cd-8a91-44d6-a8e3-41821a504cb2": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "wholeGroup": "7da0a279-5d21-48e3-ab2c-2040bfec474a",
        "gens": [["1", "1"]]
      }
    },
    "7da0a279-5d21-48e3-ab2c-2040bfec474a": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsSubgroupFpGroup",
        "freeGroup": "ff56b2da-4706-44e5-833e-fb0f577a37f8",
        "relators": [["1", "2"], ["2", "2"], ["1", "-1", "2", "-1", "1", "1", "2", "1"]]
      }
    },
    "ff56b2da-4706-44e5-833e-fb0f577a37f8": {
      "_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