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## Kátai-Urbán Kamilla: Monomial clones over finite fields

 Wednesday, 14. February 2018, 10:00 - 12:00
Abstract. Motivated by composition-closed function classes containing binary monomial polynomial functions over the field $\F_q$, we investigate subsets of residue classes modulo $q-1$ closed under the operations $(a,b,s) \mapsto as+b(1-s)$ and $a \mapsto 1-a$. By purely number theoretic means we give a necessary and sufficient condition on such a subset containing an arbitrary (but concrete) residue class modulo $q-1$.
(Co-authors: Gábor Horváth and Csaba Szabó)
Location : Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged

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