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  • Volume 1 (2009)
  • no. 1
  • p. 75-79
no. 1
The structure of abelian groups supporting a number system (extended abstract)
Christiaan van de Woestijne1
1 Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria
Actes des rencontres du CIRM, Volume 1 (2009) no. 1, pp. 75-79.
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Published online: 2010-08-30
Zbl: 06938561
DOI: 10.5802/acirm.13
Author's affiliations:
Christiaan van de Woestijne 1

1 Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria
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     author = {Christiaan van de Woestijne},
     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 = {https://acirm.centre-mersenne.org/articles/10.5802/acirm.13/}
}
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Christiaan van de Woestijne. The structure of abelian groups supporting a number system (extended abstract). Actes des rencontres du CIRM, Volume 1 (2009) no. 1, pp. 75-79. doi : 10.5802/acirm.13. https://acirm.centre-mersenne.org/articles/10.5802/acirm.13/
  • References
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[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

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