Hostname: page-component-76c49bb84f-hwk5l Total loading time: 0 Render date: 2025-07-11T01:08:59.441Z Has data issue: false hasContentIssue false
  • English
  • Français

Adding Distinct Congruence Classes

Published online by Cambridge University Press:  01 March 1998

Y. O. HAMIDOUNE
Y. O. HAMIDOUNE
Affiliation:
Université P. et M. Curie, E. Combinatoire, Case 189, 4 Place Jussieu, 75005 Paris, France (e-mail: yha@ccr.jussieu.fr)
Get access Rights & Permissions [Opens in a new window]

Abstract

Let S be a generating subset of a cyclic group G such that 0=∉S and [mid ]S[mid ][ges ]5. We show that the number of sums of the subsets of S is at least min([mid ]G[mid ], 2[mid ]S[mid ]). Our bound is best possible. We obtain similar results for abelian groups and mention the generalization to nonabelian groups.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 7 , Issue 1 , March 1998 , pp. 81 - 87
Copyright
1998 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable