Subgroups of classical groups generated by transvections or Siegel transvections. I: Embeddings in linear groups

DOI10.1023/A:1004996924764zbMath0891.20034OpenAlexW1559001421MaRDI QIDQ1379519

A. I. Steinbach

Publication date: 19 July 1998

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

Full work available at URL: https://doi.org/10.1023/a:1004996924764

zbMATH Keywords

classical groupspolar spacesfundamental theorem of projective geometrylong root elementsSiegel transvectionsembeddings in linear groupsembeddings of projective spacesfinite-dimensional projective 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)

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