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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

3 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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title = "Nonabelian sets with distinct k-sums",

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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year = "1995",

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AU - Odlyzko, A. M.

AU - Smith, W. D.

PY - 1995/11/15

Y1 - 1995/11/15

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0007388347

UR - https://www.scopus.com/pages/publications/0007388347#tab=citedBy

U2 - 10.1016/0012-365X(94)00162-7

DO - 10.1016/0012-365X(94)00162-7

M3 - Article

AN - SCOPUS:0007388347

SN - 0012-365X

VL - 146

SP - 169

EP - 177

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 1-3

ER -

Nonabelian sets with distinct k-sums

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