On Chevalley-groups acting on projective planes

DOI10.1016/0021-8693(82)90259-9zbMath0496.20002OpenAlexW1974269322MaRDI QIDQ1170346

Gernot Stroth

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90259-9

zbMATH Keywords

finite projective planesporadic simple groupperspectivitiesfinite Chevalley group of twisted typestrongly irreducible collineation group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Linear algebraic groups over finite fields (20G40) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Finite simple groups and their classification (20D05)

Related Items

Involutory collineations of finite planes, Collineation groups with perspectivities., Irreducible collineation groups fixing an oval, Alternating groups as collineation groups, Strongly irreducible collineation groups and the Hall-Janko group, Perspectivities of odd order and Chevalley groups, Finite groups, On flag collineations of finite projective planes, Irreducible collineation groups fixing a hyperoval, On \(\text{PSL}(2,q)\) as a totally irregular collineation group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perspectivities in irreducible collineation groups of projective planes, II
• Variations on a theme of Chevalley
• Correction to A characterization of Chevalley groups over fields of odd order
• On the structure of finite collineation groups of projective planes
• Zur Operation von \(SL_ 2(\)q) und \(PSL_ 2(\)q) auf projektiven Ebenen
• On finite simple groups containing perspectivities
• Groups generated by root-involutions. II
• Flag-transitive subgroups of Chevalley groups
• Semi-extraspezielle p-Gruppen
• On groups with a standard component of known type
• Finite simple groups in which the generalized Fitting group of the centralizer of some involution is extraspecial
• Finite groups generated by 3-transpositions. I
• Finite groups with Sylow 2-subgroups of type \({\mathfrak U}_{12}\)
• A characterization of the Chevalley- and Steinberg-groups over F\(_2\)
• Lectures on Chevalley Groups
• On the Structure of Collineation Groups of Finite Projective Planes
• Über einfache endliche gruppen mit sylow-2-gruppen der ordnung höchstens 2¹⁰
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• A Characterization of the finite simple group L₄(3)
• A Characterization of the finite simple group U₄(3)