Derived semifield planes with affine elations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1982 Italy English Publisher:Springer Science and Business Media LLCJournal:Journal of Geometry, volume 19, pages 50-88 (issn: 0047-2468, eissn: 1420-8997,

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Authors: BILIOTTI, Mauro; G. Menichetti;

doi: 10.1007/bf01930869

handle: 11587/366095

Derived semifield planes with affine elations

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Abstract

Derived semifield planes admitting non trivial affine elations with more than one centre are examined in detail and several new examples of such plantes are constructed. A new characterization of the Hall planes of even order among derived semifield planes is also given.

Country

Italy

Related Organizations

Esan University
Peru
University of Salento
Italy

Keywords

Translation planes and spreads in linear incidence geometry, Hall planes, derived planes, Finite affine and projective planes (geometric aspects), translation complement, Semifields

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