Specification: Permutation Groups (OSCAR v1.2-v1.3)

Profiles: OSCAR v1.2, OSCAR v1.3 Other versions: Permutation Groups (OSCAR v1.0-v1.1), Permutation Groups (OSCAR v1.4-v1.5), Permutation Groups (OSCAR v1.6-v1.8)

In OSCAR v1.2 and v1.3, PermGroup still uses the bare type name "PermGroup", but group attributes are nested inside data.attrs.

Encoding Notes

• Use _type: "PermGroup".
• Store the degree and generators under data.
• Store attributes under data.attrs.

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": "PermGroup",
  "data": {
    "degree": "5",
    "gens": [["2", "1"], ["1", "2", "4", "3"], ["3", "4", "1", "2"]],
    "attrs": {
      "order": {"_type": "ZZRingElem", "data": "8"},
      "is_nilpotent": {"_type": "Bool", "data": "true"},
      "is_perfect": {"_type": "Bool", "data": "false"},
      "is_solvable": {"_type": "Bool", "data": "true"}
    }
  },
  "id": "814910f4-ef7a-46c9-b0f5-08dc4f73dd70"
}

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

• Subgroup of symmetric group
• Symmetric group