Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛²
From MaRDI portal
Publication:2781308
DOI10.1090/S0002-9939-01-06388-2zbMath1004.51012OpenAlexW1829295197WikidataQ122987049 ScholiaQ122987049MaRDI QIDQ2781308
Aart Blokhuis, Bernhard Schmidt, Dieter Jungnickel
Publication date: 19 March 2002
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06388-2
Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
Related Items (17)
Unitals in shift planes of odd order ⋮ On automorphism groups of divisible designs acting regularly on the set of point classes ⋮ Formal duality in finite abelian groups ⋮ Modified planar functions and their components ⋮ The apparent structure of dense Sidon sets ⋮ Almost perfect and planar functions ⋮ The shift action on 2-cocycles. ⋮ Nonlinear functions in abelian groups and relative difference sets. ⋮ A character theoretic approach to planar functions ⋮ On perfect nonlinear functions \((\Pi)\) ⋮ ‐Relative Difference Sets and Their Representations ⋮ On Abelian \((2n,n,2n,2)\)-difference sets ⋮ Polarities of shift planes ⋮ Ordinary graphs and subplane partitions ⋮ Zero-difference balanced functions with applications ⋮ Recent progress in algebraic design theory ⋮ On the nonexistence of semi-regular relative difference sets
Cites Work
- Planar functions, relative difference sets, and character theory
- Relative difference sets and quasiregular collineation groups
- On a paper of Dembrowski and Ostrom
- Finite geometry and character theory
- Quasiregular collineation groups of finite projective planes
- Planes of order \(n\) with collineation groups of order \(n^ 2\)
- Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
This page was built for publication: Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛²
