On the doubly transitive permutation representations of \(\text{Sp}(2n,\mathbb{F}_2)\).

DOI10.1016/S0021-8693(02)00551-3zbMath1050.20032OpenAlexW1995385037MaRDI QIDQ1858263

N. S. Narasimha Sastry, Peter K. W. Sin

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00551-3

zbMATH Keywords

symplectic groupsWeyl modulesfiltrationscomposition factorspermutation latticesmodular reductionsfundamental modulesexterior algebrasdoubly transitive actions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items

Lattices invariant under the affine general linear group ⋮ The permutation modules for finite (affine) general linear groups. ⋮ Structure of a code related to \(\mathrm{Sp}(4,q)\), \(q\) even ⋮ The non-existence of sharply 2-transitive sets of permutations in \(\mathrm {Sp}(2d,2)\) of degree \(2^{2d-1}\pm 2^{d-1}\)

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