Title
Weakly P-Small Not P-Small Subsets In Groups
Abstract
Answering a question of Dikranjan and Protasov we prove that each infinite group G contains a weakly P-small subset A subset of G which is not P-small. This means that for every n there are n pairwise disjoint translation copies of A in G but there is no infinitely many such disjoint copies.
Year
DOI
Venue
2008
10.1142/S0218196708004263
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION
Keywords
Field
DocType
small, P-small, weakly P-small
Discrete mathematics,Combinatorics,Infinite group,Disjoint sets,Mathematics
Journal
Volume
Issue
ISSN
18
1
0218-1967
Citations 
PageRank 
References 
1
0.75
0
Authors
2
Name
Order
Citations
PageRank
Taras O. Banakh197.24
Nadia Lyaskovska221.23