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An elementary proof of the canonizing version of Gallai-Witt's theorem

✍ Scribed by Hans Jürgen Prömel; Vojtěch Rödl


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
255 KB
Volume
42
Category
Article
ISSN
0097-3165

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Lenstra′s Proof of the Carlitz-Wan Conje
✍ S.D. Cohen; M.D. Fried 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 167 KB

We give a proof, following an argument of Lenstra, of the conjecture of Carlitz (1966) as generalized by Wan (1993). This says that there are no exceptional polynomials of degree \(n\) over \(\mathbb{F}_{q}\) if \((n, q-1)>1\). Fried, Guralnick, and Saxl previously proved Carlitz's conjecture: there