no. 1
The structure of abelian groups supporting a number system (extended abstract)
Woestijne, Christiaan van de1
1 Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria
Actes des rencontres du CIRM, Tome 1 (2009) no. 1, pp. 75-79.
Publié le :
DOI : 10.5802/acirm.13
Woestijne, Christiaan van de 1

1 Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria 
@article{ACIRM_2009__1_1_75_0,
     author = {Woestijne, Christiaan van de},
     title = {The structure of abelian groups supporting a number system (extended abstract)},
     journal = {Actes des rencontres du CIRM},
     pages = {75--79},
     publisher = {CIRM},
     volume = {1},
     number = {1},
     year = {2009},
     doi = {10.5802/acirm.13},
     zbl = {06938561},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/acirm.13/}
}
TY  - JOUR
AU  - Woestijne, Christiaan van de
TI  - The structure of abelian groups supporting a number system (extended abstract)
JO  - Actes des rencontres du CIRM
PY  - 2009
SP  - 75
EP  - 79
VL  - 1
IS  - 1
PB  - CIRM
UR  - http://www.numdam.org/articles/10.5802/acirm.13/
DO  - 10.5802/acirm.13
LA  - en
ID  - ACIRM_2009__1_1_75_0
ER  - 
%0 Journal Article
%A Woestijne, Christiaan van de
%T The structure of abelian groups supporting a number system (extended abstract)
%J Actes des rencontres du CIRM
%D 2009
%P 75-79
%V 1
%N 1
%I CIRM
%U http://www.numdam.org/articles/10.5802/acirm.13/
%R 10.5802/acirm.13
%G en
%F ACIRM_2009__1_1_75_0
Woestijne, Christiaan van de. The structure of abelian groups supporting a number system (extended abstract). Actes des rencontres du CIRM, Tome 1 (2009) no. 1, pp. 75-79. doi : 10.5802/acirm.13. http://www.numdam.org/articles/10.5802/acirm.13/

[1] Shigeki Akiyama, Christiane Frougny, and Jacques Sakarovitch. Powers of rationals modulo 1 and rational base number systems. Israel J. Math., 168:53–91, 2008. | DOI | MR | Zbl

[2] David M. Arnold. Finite rank torsion free abelian groups and rings, volume 931 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1982. | DOI | Zbl

[3] Reinhold Baer. The subgroup of the elements of finite order of an abelian group. Ann. of Math. (2), 37(4):766–781, 1936. | DOI | MR | Zbl

[4] Guy Barat, Valérie Berthé, Pierre Liardet, and Jörg Thuswaldner. Dynamical directions in numeration. Ann. Inst. Fourier (Grenoble), 56(7):1987–2092, 2006. | DOI | MR | Zbl

[5] László Fuchs. Infinite abelian groups. Vol. I. Pure and Applied Mathematics, Vol. 36. Academic Press, New York, 1970. | Zbl

[6] László Fuchs. Infinite abelian groups. Vol. II. Academic Press, New York, 1973. Pure and Applied Mathematics. Vol. 36-II. | Zbl

[7] Attila Kovács. Radix expansion in lattices. PhD thesis, Eötvös Loránd University, Budapest, 2001.

[8] Benoit Loridant, Jun Luo, and Jörg M. Thuswaldner. Topology of crystallographic tiles. Geom. Dedicata, 128:113–144, 2007. | DOI | MR | Zbl

[9] A. Pethő. On the periodic expansion of algebraic numbers. Ann. Univ. Sci. Budapest. Sect. Comput., 18:167–174, 1999. | Zbl

[10] Klaus Scheicher and Jörg M. Thuswaldner. Digit systems in polynomial rings over finite fields. Finite Fields Appl., 9(3):322–333, 2003. | DOI | MR | Zbl

Cité par Sources :