Abstract | ||
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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. Banakh | 1 | 9 | 7.24 |
Nadia Lyaskovska | 2 | 2 | 1.23 |