Random hypergraphs in pseudofinite fields
Journal of the Institute of Mathematics of Jussieu, cilt.9, sa.1, ss.29-47, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 1
- Basım Tarihi: 2010
- Doi Numarası: 10.1017/s1474748009000073
- Dergi Adı: Journal of the Institute of Mathematics of Jussieu
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.29-47
- Anahtar Kelimeler: Function field, Galois group, Pseudofinite field, Random graph, Random hypergraph
- Boğaziçi Üniversitesi Adresli: Evet
Özet
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. © 2009 Cambridge University Press.