Nonabelian sets with distinct k-sums

A. M. Odlyzko; W. D. Smith

doi:10.1016/0012-365X(94)00162-7

Nonabelian sets with distinct k-sums

A. M. Odlyzko, W. D. Smith

Mathematics

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2 Scopus citations

Abstract

A modified Bose-Chowla construction of sets with distinct sums of k-element subsets is presented. In infinitely many cases it yields sets with a certain multiplicative symmetry. These sets are then used to construct large sets S in certain nonabelian groups with the property that all k-letter words with letters from S are distinct.

Original language	English (US)
Pages (from-to)	169-177
Number of pages	9
Journal	Discrete Mathematics
Volume	146
Issue number	1-3
DOIs	https://doi.org/10.1016/0012-365X(94)00162-7
State	Published - Nov 15 1995

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abstract = "A modified Bose-Chowla construction of sets with distinct sums of k-element subsets is presented. In infinitely many cases it yields sets with a certain multiplicative symmetry. These sets are then used to construct large sets S in certain nonabelian groups with the property that all k-letter words with letters from S are distinct.",

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Nonabelian sets with distinct k-sums

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