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pseudofinite field

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

Random hypergraphs in pseudofinite fields
Part of
Özlem Beyarslan
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 9 / Issue 1 / January 2010

Published online by Cambridge University Press:

03 June 2009, pp. 29-47

Print publication:

January 2010
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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.