On the vanishing of subspaces of alternating bilinear forms

DOI10.1080/03081080500361264zbMath1110.15028OpenAlexW1996592889MaRDI QIDQ3423560

Rachel Quinlan, Roderick Gow

Publication date: 14 February 2007

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080500361264

zbMATH Keywords

finite fieldquaternionsskew-symmetric matricesoctonionscommutator subgroupexterior squaresconstant rank subspacesrank two matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Finite nilpotent groups, (p)-groups (20D15) Exterior algebra, Grassmann algebras (15A75) Skew fields, division rings (12E15)

Related Items (3)

Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down ⋮ Local linear dependence seen through duality. I ⋮ Galois extensions and subspaces of alternating bilinear forms with special rank properties

Cites Work

• Isotropic subspaces for skewforms and maximal abelian subgroups of \(p\)-groups
• Alternating bilinear forms over GF(q)
• Gruppen mit kleinen abelschen Untergruppen
• Onk-spaces of real matrices
• A problem of Westwick onk-spaces
• Vector fields on spheres

This page was built for publication: On the vanishing of subspaces of alternating bilinear forms