Involutory collineations of finite planes
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Publication:1080175
DOI10.1007/BF01174333zbMath0599.51010MaRDI QIDQ1080175
Publication date: 1986
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173780
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Translation planes and spreads in linear incidence geometry (51A40) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)
Related Items (11)
Simple collineation groups with perspectivities of finite translation planes ⋮ Collineation groups preserving a unital of a projective plane of odd order ⋮ Large 2-transitive arcs ⋮ Transitive groups on the line at infinity of a finite affine plane ⋮ Order 4 elements of linear and collineation groups. ⋮ Collineation groups with perspectivities. ⋮ Affine planes admitting a collineation group with a transitive action on the line at infinity ⋮ Large doubly transitive orbits on a line ⋮ On the Ree unital ⋮ Linear groups and collineation groups of translation planes ⋮ On \(\text{PSL}(2,q)\) as a totally irregular collineation group
Cites Work
- Simple groups acting on translation planes
- Collineations of projective planes of order 9
- On the structure of finite collineation groups of projective planes
- The classification of projective planes of order 9 which possess an involution
- On Chevalley-groups acting on projective planes
- On finite simple groups containing perspectivities
- Central elements in core-free groups
- On Projective Planes of Order Nine
- Finite Projective Planes that Admit a Strongly Irreducible Collineation Group
- On the Structure of Collineation Groups of Finite Projective Planes
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