Sylvester–Gallai Theorems for Complex Numbers and Quaternions

Noam D. Elkies, L. M. Pretorius, Konrad J. Swanepoel

Type: Article

Publication Date: 2006-02-03

Citations: 34

DOI: https://doi.org/10.1007/s00454-005-1226-7

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+	Sum–product phenomena for planar hypercomplex numbers	2020	Matthew Hase-Liu Adam Sheffer
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+	Quaternions in mathematical physics (1): Alphabetical bibliography	2005	André Gsponer Jean-Pierre Hurni
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+ PDF Chat	A Theorem of Sylvester-Gallai Type for Abelian Groups	2021	F. K. Nilov Alexandr Polyanskii
+ PDF Chat	Incidence Theorems and Their Applications	2012	Zeev Dvir
+ PDF Chat	On a conjecture of Kelly on (1, 3)-representation of Sylvester–Gallai designs	2022	C P Anil Kumar Anoop Singh
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Works Cited by This (6)

Action	Title	Year	Authors
+	Arrangements of Lines and Algebraic Surfaces	1983	Friedrich Hirzebruch
+ PDF Chat	A resolution of the sylvester-gallai problem of J.-P. serre	1986	L. M. Kelly
+	Personal reminiscences and remarks on the mathematical work of Tibor Gallai	1982	Paul Erdös
+	Quaternionic determinants	1996	Helmer Aslaksen
+	Geometric Inequalities	2019	Horst Martini Luis Montejano Déborah Oliveros
+	Quaternionic Determinants	2001	Helmer Aslaksen