Finite groups · Family
Suzuki simple groups
Odd extension degree in characteristic 2; q ≥ 8.
Classification coverageFinite simple classification
Parameter domain
Odd extension degree in characteristic 2; q ≥ 8.
| Parameter | Allowed values |
|---|---|
| q | q = 2^(2m+1), integer m ≥ 1 |
Reference properties
Exceptions and identifications
m = 0; q = 2: Sz(2) has order 20 and is not simple. [sources]
Conventions and use
Sz(q) denotes this infinite family; Suz denotes the distinct sporadic Suzuki group. [sources]
Names and aliases
Sz(q)
Related objects and maps
- Sporadic Suz: different group
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 Suzuki twisted groups of type ²B₂.
- On the simple groups of Suzuki and ReeSuzuki construction and simplicity; section 5Open source
family:finite-suzuki#definitionParameter domain
q: q = 2^(2m+1), integer m ≥ 1
- On the simple groups of Suzuki and ReeSuzuki construction and simplicity; section 5Open source
family:finite-suzuki#parametersScope and restrictions
Odd extension degree in characteristic 2; q ≥ 8.
- On the simple groups of Suzuki and ReeSuzuki construction and simplicity; section 5Open source
family:finite-suzuki#restrictionExceptions and identifications
m = 0; q = 2: Sz(2) has order 20 and is not simple.
- Finite simple groups: Lecture 4 — Exceptional groupsSuzuki–Ree groups: small casesOpen source
family:finite-suzuki#exceptions-1Conventions and use
Sz(q) denotes this infinite family; Suz denotes the distinct sporadic Suzuki group.
- On the simple groups of Suzuki and ReeSuzuki construction and simplicity; section 5Open source
family:finite-suzuki#conventions-1Sporadic Suz: different group
group:sporadic-suz
family:finite-suzuki#relation-1