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SEMIFIELDS ARISING FROM IRREDUCIBLE SEMILINEAR TRANSFORMATIONS

Part of: Finite geometry and special incidence structures General nonassociative rings

Published online by Cambridge University Press:  01 December 2008

WILLIAM M. KANTOR  and
ROBERT A. LIEBLER
WILLIAM M. KANTOR*
Affiliation:
Department of Mathematics, University of Oregon, Eugene, OR 97403, USA (email: kantor@math.uoregon.edu)
ROBERT A. LIEBLER
Affiliation:
Department of Mathematics, Colorado State University, Fort Collins, CO 80523, USA (email: liebler@math.colostate.edu)
*
✉For correspondence; e-mail: kantor@math.uoregon.edu
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Abstract

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A construction of finite semifield planes of order n using irreducible semilinear transformations on a finite vector space of size n is shown to produce fewer than different nondesarguesian planes.

Keywords

finite projective planessemifieldsemilinear transformation

MSC classification

Secondary: 51E15: Affine and projective planes 17A35: Division algebras

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 85 , Issue 3 , December 2008 , pp. 333 - 339
Copyright
Copyright © Australian Mathematical Society 2009

References

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