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On collineation groups of finite projective spaces containing a Singer cycle

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Publication:523393
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DOI10.1007/s00022-015-0300-4zbMath1364.51001OpenAlexW2238393986MaRDI QIDQ523393

Alessandro Siciliano, Tim Penttila

Publication date: 20 April 2017

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

Full work available at URL: https://doi.org/10.1007/s00022-015-0300-4

zbMATH Keywords

Singer cycleDesarguesian spreadscollineation groups


Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) General theory of linear incidence geometry and projective geometries (51A05)




Cites Work

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  • On a set of lines of \(PG(3,q)\) corresponding to a maximal cap contained in the Klein quadric of \(PG(5,q)\).
  • Linear groups containing a Singer cycle
  • Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\)
  • Caps embedded in Grassmannians
  • Remarks on Singer cyclic groups and their normalizers.
  • Teoria di Galois, fibrazioni proiettive e geometrie non desarguesiane
  • The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
  • Automorphisms of Finite Linear Groups
  • Endliche Gruppen I
  • On the orbits of Singer groups and their subgroups
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