The Cayley-Menger determinant is irreducible for $n\geq 3$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71597We prove that the Cayley-Menger determinant of an $n$-dimensional simplex is an absolutely irreducible polynomial for $n\geq3.$ We also study the irreducibility of polynomials associated to related geometric constructions.7 pages, 4 figuresCommutative AlgebraMetric GeometryPrimary 12E05; Secondary 52A38The Cayley-Menger determinant is irreducible for $n\geq 3$text