Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes

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Title

Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes

Content partner

University of Canterbury Library

Collection

UC Research Repository

Description

We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained by a construction of Schroth [18] from generalized quadrangles associated with the semiclassical 4-dimensional Laguerre planes. All 4-dimensional Minkowski planes that can be obtained in this way from the semiclassical 4-dimensional Laguerre planes are determined.

Format

Research paper

Research format

Working or discussion paper

Date created

1998

Creator

Lowen, R. / Steinke, G. F.

URL

http://hdl.handle.net/10092/11506

Related subjects

Laguerre plane / Minkowski plane / topological plane / 4-dimensional plane / semiclassical plane / generalized quadrangle / pseudo-oval / Kantor family / 4-gonal family / Mathematical sciences / Pure mathematics / Algebraic and differential geometry

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Copyright Robert Lowen

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