Regular automorphism groups on partial geometries

DOI10.1016/0378-3758(95)00086-0zbMath0861.51005OpenAlexW1981288974MaRDI QIDQ1918198

Yanyan Li

Publication date: 21 May 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00086-0

zbMATH Keywords

partial geometriespartial difference setsregular automorphism groups

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Finite partial geometries (general), nets, partial spreads (51E14) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (3)

proper partial geometries with an automorphism group acting primitively on points and lines ⋮ Proper partial geometries with Singer groups and pseudogeometric partial difference sets ⋮ Partial geometries \(\mathbf{pg}(s,t,\mathbf 2\)) with an abelian Singer group and a characterization of the van Lint-Schrijver partial geometry

Cites Work

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• Translation nets and fixed-point-free group automorphisms
• Construction of strongly regular graphs, two-weight codes and partial geometries by finite fields
• Regular groups on generalized quadrangles and nonabelian difference sets with multiplier -1
• A survey of partial difference sets
• Cyclic difference sets
• Strongly regular graphs, partial geometries and partially balanced designs
• On Automorphism Groups of Divisible Designs
• Some maximal arcs in finite projective planes

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