Subgroups of classical groups generated by transvections or Siegel transvections. II: Embeddings in orthogonal groups

DOI10.1023/A:1004944907926zbMath0891.20035MaRDI QIDQ1379520

A. I. Steinbach

Publication date: 19 July 1998

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

polar spacessubgroups of classical groupsfundamental theorem of projective geometrylong root elementsSiegel transvectionsembeddings in orthogonal groupsembeddings of projective spacesprojective classical groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (4)

Geometry of root elements in groups of type $\mathrm E_{6}$ ⋮ Unnamed Item ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Groups of Lie type generated by long root elements in \(F_4(K)\).

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