| Title:
|
A Hajós type result on factoring finite abelian groups by subsets. II (English) |
| Author:
|
Corrádi, Keresztély |
| Author:
|
Szabó, Sándor |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
1-8 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is proved that if a finite abelian group is factored into a direct product of lacunary cyclic subsets, then at least one of the factors must be periodic. This result generalizes Hajós's factorization theorem. (English) |
| Keyword:
|
factorization of finite abelian groups |
| Keyword:
|
periodic subset |
| Keyword:
|
cyclic subset |
| Keyword:
|
Hajós's theorem |
| MSC:
|
05B45 |
| MSC:
|
20K01 |
| MSC:
|
52C22 |
| MSC:
|
68R05 |
| idZBL:
|
Zbl 1211.20046 |
| idMR:
|
MR2666075 |
| . |
| Date available:
|
2010-05-21T12:29:42Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140082 |
| . |
| Reference:
|
[1] Corrádi K., Szabó S.: A Hajós type result on factoring finite abelian groups by subsets.Math. Pannon. 5 (1994), 275–280. MR 1304856 |
| Reference:
|
[2] Hajós G.: Über einfache und mehrfache Bedeckung des $n$-dimensionalen Raumes mit einem Würfelgitter.Math. Z. 47 (1942), 427–467. MR 0006425, 10.1007/BF01180974 |
| Reference:
|
[3] Sands A.D.: A note on distorted cyclic subsets.Math. Pannon. 20 (2009), 123–127. MR 2517716 |
| . |
