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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 1, Pages 90–97 (Mi smj960)  
This article is cited in 23 scientific papers (total in 23 papers)

The Cayley–Menger determinant is irreducible for $n\geqslant3$

C. D'Andreaa, M. Sombrab

a University of California, Berkeley
b Universitat de Barcelona
Full-text PDF (207 kB) Citations (23)
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Abstract: We prove that the Cayley–Menger determinant of an $n$-dimensional simplex is an absolutely irreducible polynomial for $n\geqslant3$. We also study the irreducibility of the polynomials associated to the related geometric constructions.
Keywords: volume of a simplex, Cayley–Menger determinant, irreducible polynomial.
Received: 18.06.2004
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 1, Pages 71–76
DOI: https://doi.org/10.1007/s11202-005-0007-0
Bibliographic databases:
UDC: 512.62, 514.172.45
Language: Russian
Citation: C. D'Andrea, M. Sombra, “The Cayley–Menger determinant is irreducible for $n\geqslant3$”, Sibirsk. Mat. Zh., 46:1 (2005), 90–97; Siberian Math. J., 46:1 (2005), 71–76
Citation in format AMSBIB
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\paper The Cayley--Menger determinant is irreducible for $n\geqslant3$
\jour Sibirsk. Mat. Zh.
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\vol 46
\issue 1
\pages 90--97
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2141304}
\zmath{https://zbmath.org/?q=an:1081.52007}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 1
\pages 71--76
\crossref{https://doi.org/10.1007/s11202-005-0007-0}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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