The Cayley-Menger determinant is irreducible for n >= 3
Idioma
en
Article de revue
Este ítem está publicado en
Siberian Mathematical Journal. 2005, vol. 46, p. 71-76
Springer Verlag, Russian Academy of Sciences, Siberian Branch
Resumen en inglés
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.
Palabras clave en inglés
Volume of a simplex
Cayley-Menger determinant
irreducible polynomial