Optimally small sumsets in general Abelian groups

Alain Plagne

doi:10.1016/j.aam.2005.09.001

Optimally small sumsets in general Abelian groups

Alain Plagne

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

Abstract

When G is a finite Abelian group, a formula for the μ_G function in terms of the divisors of | G | was already known. In this short paper, we show how a simple argument allows us to extend this formula to all Abelian groups.

Original language	English
Pages (from-to)	324-326
Number of pages	3
Journal	Advances in Applied Mathematics
Volume	38
Issue number	3
DOIs	https://doi.org/10.1016/j.aam.2005.09.001
Publication status	Published - 1 Jan 2007

Access to Document

10.1016/j.aam.2005.09.001

Cite this

@article{cd708f7f1fb3483aad413d6712c23f5e,

title = "Optimally small sumsets in general Abelian groups",

abstract = "When G is a finite Abelian group, a formula for the μG function in terms of the divisors of | G | was already known. In this short paper, we show how a simple argument allows us to extend this formula to all Abelian groups.",

author = "Alain Plagne",

year = "2007",

month = jan,

day = "1",

doi = "10.1016/j.aam.2005.09.001",

language = "English",

volume = "38",

pages = "324--326",

journal = "Advances in Applied Mathematics",

issn = "0196-8858",

number = "3",

}

TY - JOUR

T1 - Optimally small sumsets in general Abelian groups

AU - Plagne, Alain

PY - 2007/1/1

Y1 - 2007/1/1

N2 - When G is a finite Abelian group, a formula for the μG function in terms of the divisors of | G | was already known. In this short paper, we show how a simple argument allows us to extend this formula to all Abelian groups.

AB - When G is a finite Abelian group, a formula for the μG function in terms of the divisors of | G | was already known. In this short paper, we show how a simple argument allows us to extend this formula to all Abelian groups.

U2 - 10.1016/j.aam.2005.09.001

DO - 10.1016/j.aam.2005.09.001

M3 - Article

AN - SCOPUS:33846786792

SN - 0196-8858

VL - 38

SP - 324

EP - 326

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 3

ER -

Optimally small sumsets in general Abelian groups

Abstract

Access to Document

Fingerprint

Cite this