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

SubPcGroupElem 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 "SubPcGroupElem" 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": "SubPcGroupElem", "params": "7011d5fe-bbaf-41ed-8957-df7732189aed"},
  "data": ["1", "0", "0", "0"],
  "_refs": {
    "7011d5fe-bbaf-41ed-8957-df7732189aed": {"_type": {"name": "SubPcGroup", "params": "f3ea64de-17ff-4f08-8e95-4ad525ae5b67"}, "data": []},
    "f3ea64de-17ff-4f08-8e95-4ad525ae5b67": {
      "_type": {"name": "GapObj", "params": "1445c9e9-447f-4b9d-8c98-783382d6ab6d"},
      "data": {
        "GapType": "IsPcGroup",
        "gens": [["1", "0", "0", "0"], ["0", "0", "1", "0"], ["0", "0", "0", "1"]]
      }
    },
    "1445c9e9-447f-4b9d-8c98-783382d6ab6d": {
      "_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