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

SubFPGroupElem 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 "SubFPGroupElem" 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": "SubFPGroupElem", "params": "2afb0211-b5e4-46b5-ab43-37edeb8b89cb"},
  "data": ["1", "1"],
  "_refs": {
    "2afb0211-b5e4-46b5-ab43-37edeb8b89cb": {"_type": {"name": "SubFPGroup", "params": "41fe1425-8ca5-448a-a057-1c35c6a8b23c"}, "data": []},
    "41fe1425-8ca5-448a-a057-1c35c6a8b23c": {
      "_type": {"name": "GapObj", "params": "92a965c8-0d4b-45e0-8b6c-9d9b47425182"},
      "data": {"GapType": "IsFreeGroup", "gens": [["1", "1"]]}
    },
    "92a965c8-0d4b-45e0-8b6c-9d9b47425182": {
      "_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 subgroup of free group
• Element of subgroup of finitely presented group