Specification: Pc Groups (OSCAR v1.1-v1.3)

Profiles: OSCAR v1.1, OSCAR v1.2, OSCAR v1.3 Other versions: Pc Groups (OSCAR v1.0), Pc Groups (OSCAR v1.4-v1.8)

In OSCAR v1.1 through v1.3, PcGroup still uses the bare type name "PcGroup", but the main GAP payload is moved behind _refs.

Encoding Notes

• Use _type: "PcGroup".
• Store the group payload as a reference id under data.
• Resolve the referenced object 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": "PcGroup",
  "data": {"X": "125903a6-4d2c-4c1a-a19f-555e82e955e4"},
  "id": "ba75779f-02ef-41a7-917d-f993223284d0",
  "_refs": {
    "125903a6-4d2c-4c1a-a19f-555e82e955e4": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsPcGroup",
        "relord": ["2", "3", "2", "2"],
        "power_rels": [],
        "comm_rels": [
          ["2", "1", ["2", "1"]],
          ["3", "1", ["3", "1", "4", "1"]],
          ["4", "1", ["3", "1", "4", "1"]],
          ["3", "2", ["3", "1", "4", "1"]],
          ["4", "2", ["3", "1"]]
        ]
      }
    }
  }
}

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

• Pc group