Generalized quadrangles, Laguerre planes and shift planes of odd order

DOI10.2140/iig.2019.17.47zbMath1406.51004OpenAlexW2900568263MaRDI QIDQ1623011

Günter F. Steinke, Markus Johannes Stroppel

Publication date: 22 November 2018

Published in: Innovations in Incidence Geometry (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.iig/1551206775

zbMATH Keywords

translation planegeneralized quadrangleshift planeLaguerre planeshift groupmiquelian Laguerre planeantiregular translation generalized quadrangleorthogonal generalized quadrangle

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) Translation planes and spreads in linear incidence geometry (51A40) Other finite nonlinear geometries (51E25) Laguerre geometries (51B15)

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Cites Work

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• On strong isotopy of Dickson semifields and geometric implications
• On the structure of finite elation Laguerre planes
• Polarities of shift planes
• Projectivities with fixed points on every line of the plane