Spreads and classes of maximal subgroups of \(GL_ n(q), SL_ n(q),PGL_ n(q)\) and \(PSL_ n(q)\)

DOI10.1007/BF01759298zbMath0742.20004MaRDI QIDQ1175914

Roger H. Dye

Publication date: 25 June 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupsspreadsactionstabilizerssymplectic polarity

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Combinatorial structures in finite projective spaces (51E20) Translation planes and spreads in linear incidence geometry (51A40)

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Cites Work

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• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• On the maximal subgroups of the finite classical groups
• A maximal subgroup of \(PSp_ 6(2^ m)\) related to a spread
• Maximal subgroups of \(PSp_{6n}(q)\) stabilizing spreads of totally isotropic planes
• Maximal subgroups of symplectic groups stabilizing spreads
• Partitions and their stabilizers for line complexes and quadrics
• On the Orders of Maximal Subgroups of the Finite Classical Groups
• Maximal Subgroups of Finite Orthogonal Groups Stabilizing Spreads of Lines