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SEMINAR: Groups and Combinatorics Seminar, Redei-polynomials in finite geometry

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Today's date is Friday, March 29, 2024
Groups and Combinatorics Seminar, Redei-polynomials in finite geometry Other events...
Abstract:

L. Redei has studied in a detailed way so-called "lacunary" polynomials over finite fields. One of the applications described is to investigate the number of values the difference quotient of a polynomial over a finite field can have. This result has a direct implication in the theory of blocking sets of finite Desarguesian projective planes, and this connection is the start of the use of "Redei-polynomials" in finite geometry. We will discuss some cases to explain the principle of using Redei-polynomials finite projective spaces and some particular generalized quadrangle. Then we discuss a problem on maximal partial ovoids, that has been partially solved using Redei-polynomials, but that can be expressed in terms of transitive subsets of the group SL(2,q).
Speaker(s) Jan De Beule (Universiteit Gent)
Location Weatherburn Lecture Theatre
Contact Irene Pivotto <[email protected]>
Start Fri, 05 Apr 2013 15:00
End Fri, 05 Apr 2013 16:00
Submitted by Irene Pivotto <[email protected]>
Last Updated Wed, 03 Apr 2013 11:50
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