On products of sets in groups
type: Item
instance of: scholarly article
title: On products of sets in groups
zbMATH Open document ID: 0803.05024
DOI: 10.1007/BF02986654
author: C. Delorme
author: Yahya Ould Hamidoune
published in: Graphs and Combinatorics
publication date: 1994-09-26T00:00:00Z
review text: Let \(G\) be a group, \(B\) a finite subset of \(G\) containing 1, and \(A\) a non-empty finite subset of \(G\). The authors prove the following result: Either \(AB= A\langle B\rangle\) or \(| AB|\geq | A|+ \lfloor{2\over 3}(| B|+ 1)\rfloor\) if \(B= B^{-1}\) or \(B\cap B^{-1}=\{1\}\). The proof is based on properties of Cayley graphs.
reviewed by: Ulrike Baumann
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C40
zbMATH DE Number: 644727
zbMATH Keywords: automorphism group
zbMATH Keywords: Cayley graphs
MaRDI profile type: Publication
cites work: Quelques problèmes de connexite dans les graphes orientes
cites work: Sur les atomes d'un graphe de Cayley infini. (On the atoms of an infinite Cayley graph)
cites work: Über den Zusammenhang symmetrischer Graphen
cites work: Q5334400
cites work: On the sum of two sets in a group
full work available at URL: https://doi.org/10.1007/bf02986654
OpenAlex ID: W2050668282
description: scientific article; zbMATH DE number 644727