✦ LIBER ✦
The Permutation Representation of Sp(2m, Fp) Acting on the Vectors of Its Standard Module
✍ Scribed by Peter Sin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 120 KB
- Volume
- 241
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
This paper studies the permutation representation of a finite symplectic group over a prime field of odd characteristic on the vectors of its standard module. The submodule lattice of this permutation module is determined. The results yield additive formulae for the p-ranks of various incidence matrices arising from the finite symplectic spaces.