Specification: Pc Group Elements (OSCAR v1.4-v1.8)

Profiles: OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8 Other versions: Pc Group Elements (OSCAR v1.0), Pc Group Elements (OSCAR v1.1-v1.3)

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

Encoding Notes

• Use a typed _type object whose name is "PcGroupElem".
• Store the exponent vector 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": "PcGroupElem", "params": "62198964-b65f-49ad-99a4-92bb9a221eb1"},
  "data": ["1", "0", "0", "0"],
  "_refs": {
    "62198964-b65f-49ad-99a4-92bb9a221eb1": {"_type": {"name": "PcGroup", "params": "5ba833e1-7046-4969-9248-4cfb2e600082"}, "data": []},
    "5ba833e1-7046-4969-9248-4cfb2e600082": {
      "_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

• Element of pc group