SEMINAR: Groups and Combinatorics Seminar: Bruck nets and partial Sherk planes
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Groups and Combinatorics Seminar: Bruck nets and partial Sherk planes |
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Time and place: 16:00 Friday 29 April in Weatherburn LT
Speaker: Jesse Lansdown (UWA)
Title: Bruck nets and partial Sherk planes
Abstract: In Bachmann’s Aufbau der Geometrie aus dem Spiegelungsbegriff, it was shown that a finite metric plane is a Desarguesian affine plane of odd order equipped with a perpendicularity relation on lines, and conversely. Sherk generalised this result to characterise the finite affine planes of odd order by removing the ‘three reflections axioms’ from a metric plane. We show that one can obtain a larger class of natural finite geometries, the Bruck nets of even degree, by weakening Sherk’s axioms to allow non-collinear points.
Contact |
Tomasz Popiel
<[email protected]>
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Start |
Fri, 29 Apr 2016 16:00
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End |
Fri, 29 Apr 2016 17:00
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Submitted by |
Tomasz Popiel <[email protected]>
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Last Updated |
Thu, 28 Apr 2016 15:48
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