lecture-notes
Finite simple groups: Lecture 3 — Classical groups
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: Symplectic, unitary and orthogonal groups
Dependent assertions
| Record | Assertion | Source locator |
|---|---|---|
| PSU(n,q) | Definition | Unitary groups; structure of unitary groups I–II |
| PSU(n,q) | Parameter domain | Unitary groups; structure of unitary groups I–II |
| PSU(n,q) | Scope and restrictions | Unitary groups; structure of unitary groups I–II |
| PSU(n,q) | Order | Orders and scalar center of unitary groups |
| PSU(n,q) | Exceptions and identifications | Unitary groups; structure of unitary groups I–II |
| PSU(n,q) | Exceptions and identifications | Unitary groups; structure of unitary groups I–II |
| PΩ(2n+1,q) | Exceptions and identifications | Small-dimensional orthogonal groups |
| PΩ⁺(2n,q) | Exceptions and identifications | Small-dimensional orthogonal groups |
| PΩ⁺(2n,q) | Exceptions and identifications | Small-dimensional orthogonal groups |
| PΩ⁻(2n,q) | Exceptions and identifications | Small-dimensional orthogonal groups |
| PΩ⁻(2n,q) | Exceptions and identifications | Small-dimensional orthogonal groups |