A new family of locally compact 4-dimensional translation planes admitting a 7-dimensional collineation group

DOI10.1515/ADVGEOM.2009.001zbMath1202.51011MaRDI QIDQ3612013

Sigrun Ortleb

Publication date: 3 March 2009

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

contractiontranslation planelocally compact translation planeparabolic collineation groupcompression subgroupelliptic collineation group

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Translation planes and spreads in linear incidence geometry (51A40) Non-Desarguesian affine and projective planes (51A35) Topological linear incidence structures (51H10) Noncompact Lie groups of transformations (57S20)

Related Items (4)

Multiplicative loops of topological quasifields ⋮ Multiplicative loops of quasifields having complex numbers as kernel ⋮ Multiplicative Loops of 2-Dimensional Topological Quasifields ⋮ A note on the Kleinewillinghöfer types of 4-dimensional Laguerre planes

Cites Work

• 4-dimensionale Translationsebenen mit kommutativer Standgruppe
• Noncompact subgroups of the reduced stabilizer of a locally compact, connected translation plane

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