A Sylvester–Gallai Type Theorem for Abelian Groups

A finite subset of an Abelian group with respect to addition is called a Sylvester–Gallai set of type if and, for every distinct , there is an element such that , where stands for the zero of the group . We describe all Sylvester–Gallai sets of type . As a consequence, we obtain the following result...

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Veröffentlicht in:	Mathematical Notes 2021-07, Vol.110 (1-2), p.110-117
Hauptverfasser:	Nilov, F. K., Polyanskii, A. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Curves Group theory Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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