Finite locally generalized quadrangles with affine planes

F.G.M.T. Cuypers

doi:10.1016/0195-6698(92)90003-I

Finite locally generalized quadrangles with affine planes

F.G.M.T. Cuypers

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

10 Citations (Scopus)

Abstract

We classify all finite connected partial linear spaces containing a setAof subspaces isomorphic to an affine plane, such that the lines and affine planes inAon a fixed but arbitrary point form a generalized quadrangle. It appears that these spaces are standard quotients of affine polar spaces of rank 3.

Original language	English
Pages (from-to)	439-453
Number of pages	15
Journal	European Journal of Combinatorics
Volume	13
Issue number	6
DOIs	https://doi.org/10.1016/0195-6698(92)90003-I
Publication status	Published - 1992

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title = "Finite locally generalized quadrangles with affine planes",

abstract = "We classify all finite connected partial linear spaces containing a setAof subspaces isomorphic to an affine plane, such that the lines and affine planes inAon a fixed but arbitrary point form a generalized quadrangle. It appears that these spaces are standard quotients of affine polar spaces of rank 3.",

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DO - 10.1016/0195-6698(92)90003-I

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VL - 13

SP - 439

EP - 453

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 6

ER -

Finite locally generalized quadrangles with affine planes

Abstract

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