Specification: Pc Group Elements (OSCAR v1.0)

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

In OSCAR v1.0, PcGroupElem uses a bare _type string and stores the parent group information inline in the parameter payload.

Encoding Notes

• Use _type: "PcGroupElem".
• Store the exponent vector under data.
• Inline the parent group description in the parameters.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.0.5"]},
  "_type": {"name": "PcGroupElem", "params": "767bed59-46ec-4edd-9e17-99b0be056dbd"},
  "data": ["1", "0", "0", "0"],
  "_refs": {
    "767bed59-46ec-4edd-9e17-99b0be056dbd": {
      "_type": "PcGroup",
      "data": {
        "X": {
          "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
• Element of subgroup of pc group