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Random hypergraphs in pseudofinite fields

Part of: Graph theory Model theory Connections with logic

Published online by Cambridge University Press:  03 June 2009

Özlem Beyarslan
Özlem Beyarslan
Affiliation:
Boǧaziçi University, 34342 Bebek, Istanbul, Turkey (ozlem.beyarslan@boun.edu.tr)
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Abstract

We prove that n-hypergraphs can be interpreted in e-free perfect PAC fields in particular in pseudofinite fields. We use methods of function field arithmetic, more precisely we construct generic polynomials with alternating groups as Galois groups over a function field.

Keywords

pseudofinite fieldrandom graphrandom hypergraphfunction fieldGalois group

MSC classification

Secondary: 12L12: Model theory 05C80: Random graphs 03C60: Model-theoretic algebra
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 1 , January 2010 , pp. 29 - 47
Copyright
Copyright © Cambridge University Press 2010

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