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

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

In OSCAR v1.1 through v1.3, SubPcGroupElem uses the bare type name "SubPcGroupElem" and refers to its subgroup context through _refs.

Encoding Notes

• Use _type: "SubPcGroupElem".
• Store the exponent vector under data.
• Refer to the subgroup context 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": {"name": "SubPcGroupElem", "params": "5c6d1cde-e388-483d-830b-5d36cd1d6cb3"},
  "data": ["1", "0", "0", "0"],
  "_refs": {
    "5c6d1cde-e388-483d-830b-5d36cd1d6cb3": {"_type": "SubPcGroup", "data": {"X": "68b4ef6c-4626-448f-a1dd-6f18bb850f0c"}},
    "68b4ef6c-4626-448f-a1dd-6f18bb850f0c": {
      "_type": "GapObj",
      "data": {
        "GapType": "IsPcGroup",
        "fullGroup": "89185ddd-5e26-4fdd-85bf-579b9eaa3d48",
        "gens": [["1", "0", "0", "0"], ["0", "0", "1", "0"], ["0", "0", "0", "1"]]
      }
    },
    "89185ddd-5e26-4fdd-85bf-579b9eaa3d48": {
      "_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 subgroup of pc group