Title
Factoring Finite Abelian Groups by Subsets with Maximal Span
Abstract
We say that a finite abelian group has the Re´dei property if it does not admit factorization into two normalized subsets that both span the whole group. It will be shown that subgroups inherit the Re´dei property from the group. Then four constructions are described to exhibit groups without the Re´dei property. Using these we further narrow the list of $p$-groups that might have the Re´dei property.
Year
DOI
Venue
2006
10.1137/05063828X
SIAM J. Discrete Math.
Keywords
Field
DocType
whole group,maximal span,factoring finite abelian groups,finite abelian group,normalized subsets
Discrete mathematics,Abelian group,Combinatorics,Locally finite group,Elementary abelian group,G-module,Factorization,CA-group,Finite group,Factoring,Mathematics
Journal
Volume
Issue
ISSN
20
4
0895-4801
Citations 
PageRank 
References 
1
0.39
4
Authors
1
Name
Order
Citations
PageRank
Sándor Szabó1105.11