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The classification of planar monomials over fields of prime square order

Author(s): Robert S. Coulter
Journal: Proc. Amer. Math. Soc. 134 (2006), 3373-3378.
MSC (2000): Primary 51E15, 11T06
Posted: May 12, 2006
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Abstract: Planar functions were introduced by Dembowski and Ostrom in 1968 to describe affine planes possessing collineation groups with particular properties. To date their classification has only been resolved for functions over fields of prime order. In this article we classify planar monomials over fields of order $ p^2$ with $ p$ a prime.

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Additional Information:

Robert S. Coulter
Affiliation: Department of Mathematical Science, 520 Ewing Hall, University of Delaware, Newark, Delaware 19716

DOI: 10.1090/S0002-9939-06-08346-8
PII: S 0002-9939(06)08346-8
Received by editor(s): April 26, 2005
Received by editor(s) in revised form: May 17, 2005
Posted: May 12, 2006
Communicated by: John R. Stembridge
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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