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Adding Distinct Congruence Classes

Published online by Cambridge University Press:  01 March 1998

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)

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.

Type
Research Article
Copyright
1998 Cambridge University Press

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