Specification: Permutation Groups (OSCAR v1.0-v1.1)

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

In OSCAR v1.0 and v1.1, PermGroup is encoded with a bare _type string and all group attributes live directly inside data.

Encoding Notes

• Use _type: "PermGroup".
• Store the degree and generators under data.
• No top-level attrs block is used.

Canonical Example Payload

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

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.1.2"]},
  "_type": "PermGroup",
  "data": {"degree": "5", "gens": [["2", "1"], ["1", "2", "4", "3"], ["3", "4", "1", "2"]]},
  "id": "4df94d49-f265-4b65-b905-dbf79677495d"
}

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