On tangent spaces and external flats to Grassmannians of lines over finite fields

DOI10.1016/S0024-3795(01)00539-0zbMath1048.51005MaRDI QIDQ1611835

Alessandro Siciliano, Antonio Cossidente

Publication date: 28 August 2002

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

zbMATH Keywords

group actions on geometries

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (2)

The classification of flats in \(\text{PG}(\mathbf{9,2})\) which are external to the Grassmannian \({\mathcal G}_{\mathbf{1,4,2}}\) ⋮ Partial spreads in PG(4,\,2) and flats in PG(9,\,2) external to the Grassmannian \(G_{1,4,2}\)

Cites Work

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• On caps and cap partitions of Galois projective spaces
• Normal spreads
• External flats to varieties in \(\mathbb{P}\mathbb{G}(M_{n,n}(GF(q)))\)
• External flats to varieties in \(\mathbb{P}\mathbb{G}(\bigwedge^2(V))\) over finite fields
• Caps embedded in Grassmannians
• Geometria delle matrici quadrate di dato ordine
• Reflexivity of grassmannians and segre varieties
• Endliche Gruppen I
• On the geometry of Hermitian matrices of order three over finite fields

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