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

D'Andrea, Carlos; Sombra, Martin

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

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We 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 figures

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Commutative Algebra, Metric Geometry, Primary 12E05; Secondary 52A38

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http://salesiana.dossiersoluciones.com/handle/123456789/71597

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406359
http://arxiv.org/abs/math/0406359

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

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