lecture-notes
Classical groups: detailed lecture notes
Robert A. Wilson
Use in this reference: Linked for verification. No redistribution licence is asserted; this dataset contains original summaries and selected mathematical facts, not source tables.
Relevant material: Sections 3.2–3.5
Dependent assertions
| Record | Assertion | Source locator |
|---|---|---|
| PSp(2n,q) | Definition | Sections 3.2.1–3.2.2 |
| PSp(2n,q) | Parameter domain | Sections 3.2.1–3.2.2 |
| PSp(2n,q) | Scope and restrictions | Sections 3.2.1–3.2.2 |
| PSp(2n,q) | Order | Section 3.2.1, order and scalar quotient |
| PSp(2n,q) | Exceptions and identifications | Sections 3.2.1–3.2.2 |
| PSp(2n,q) | Exceptions and identifications | Section 3.2.2 |
| PΩ(2n+1,q) | Definition | Section 3.4, orthogonal groups in odd characteristic |
| PΩ(2n+1,q) | Parameter domain | Section 3.4, orthogonal groups in odd characteristic |
| PΩ(2n+1,q) | Scope and restrictions | Section 3.4, orthogonal groups in odd characteristic |
| PΩ(2n+1,q) | Conventions and use | Section 3.4, orthogonal groups in odd characteristic |
| PΩ⁺(2n,q) | Definition | Sections 3.4–3.5, plus type and projective Ω groups |
| PΩ⁺(2n,q) | Parameter domain | Sections 3.4–3.5, plus type and projective Ω groups |
| PΩ⁺(2n,q) | Scope and restrictions | Sections 3.4–3.5, plus type and projective Ω groups |
| PΩ⁻(2n,q) | Definition | Sections 3.4–3.5, minus type and projective Ω groups |
| PΩ⁻(2n,q) | Parameter domain | Sections 3.4–3.5, minus type and projective Ω groups |
| PΩ⁻(2n,q) | Scope and restrictions | Sections 3.4–3.5, minus type and projective Ω groups |