Finite groups · Family
Large Ree simple groups
Odd extension degree in characteristic 2; q ≥ 8. The Tits group is a separate small-case entry.
Classification coverageFinite simple classification
Parameter domain
Odd extension degree in characteristic 2; q ≥ 8. The Tits group is a separate small-case entry.
| Parameter | Allowed values |
|---|---|
| q | q = 2^(2m+1), integer m ≥ 1 |
Reference properties
Exceptions and identifications
m = 0; q = 2: ²F₄(2) is not simple. Its index-two derived subgroup ²F₄(2)′ is the Tits simple group. [sources]
Related objects and maps
- Tits derived subgroup
Claims and sources
Each assertion has a stable identifier within this record and a source locator or derivation. Cite the dataset edition when referring to a corrected or historical claim.
Definition
The Ree twisted groups of type ²F₄.
- On the simple groups of Suzuki and ReeLarge Ree construction and simplicity; section 5Open source
family:finite-ree-f4#definitionParameter domain
q: q = 2^(2m+1), integer m ≥ 1
- On the simple groups of Suzuki and ReeLarge Ree construction and simplicity; section 5Open source
family:finite-ree-f4#parametersScope and restrictions
Odd extension degree in characteristic 2; q ≥ 8. The Tits group is a separate small-case entry.
- On the simple groups of Suzuki and ReeLarge Ree construction and simplicity; section 5Open source
family:finite-ree-f4#restrictionExceptions and identifications
m = 0; q = 2: ²F₄(2) is not simple. Its index-two derived subgroup ²F₄(2)′ is the Tits simple group.
- Finite simple groups: Lecture 4 — Exceptional groupsSuzuki–Ree groups: small casesOpen source
family:finite-ree-f4#exceptions-1Tits derived subgroup
group:tits
- Finite simple groups: Lecture 4 — Exceptional groupsSuzuki–Ree groups: small casesOpen source
family:finite-ree-f4#relation-1