The Cayley-Menger determinant is irreducible for n >= 3
Langue
en
Article de revue
Ce document a été publié dans
Siberian Mathematical Journal. 2005, vol. 46, p. 71-76
Springer Verlag, Russian Academy of Sciences, Siberian Branch
Résumé en anglais
We prove that the Cayley-Menger determinant of an n-dimensional simplex is an absolutely irreducible polynomial for n ≥ 3. We also study the irre- ducibility of polynomials associated to related geometric constructions.
Mots clés en anglais
Volume of a simplex
Cayley-Menger determinant
irreducible polynomial