The structure of abelian groups supporting a number system (extended abstract)

Christiaan van de Woestijne[1]

  • [1] Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria

Actes des rencontres du CIRM (2009)

  • Volume: 1, Issue: 1, page 75-79
  • ISSN: 2105-0597

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Woestijne, Christiaan van de. "The structure of abelian groups supporting a number system (extended abstract)." Actes des rencontres du CIRM 1.1 (2009): 75-79. <http://eudml.org/doc/10025>.

@article{Woestijne2009,
affiliation = {Institut für Mathematik B Technische Universität Graz 8010 Graz, Austria},
author = {Woestijne, Christiaan van de},
journal = {Actes des rencontres du CIRM},
language = {eng},
month = {3},
number = {1},
pages = {75-79},
publisher = {CIRM},
title = {The structure of abelian groups supporting a number system (extended abstract)},
url = {http://eudml.org/doc/10025},
volume = {1},
year = {2009},
}

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
DA - 2009/3//
PB - CIRM
VL - 1
IS - 1
SP - 75
EP - 79
LA - eng
UR - http://eudml.org/doc/10025
ER -

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. Zbl1214.11089MR2448050
  2. David M. Arnold. Finite rank torsion free abelian groups and rings, volume 931 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1982. Zbl0493.20034MR665251
  3. Reinhold Baer. The subgroup of the elements of finite order of an abelian group. Ann. of Math. (2), 37(4):766–781, 1936. Zbl0015.20202MR1503308
  4. Guy Barat, Valérie Berthé, Pierre Liardet, and Jörg Thuswaldner. Dynamical directions in numeration. Ann. Inst. Fourier (Grenoble), 56(7):1987–2092, 2006. Zbl1138.37005MR2290774
  5. László Fuchs. Infinite abelian groups. Vol. I. Pure and Applied Mathematics, Vol. 36. Academic Press, New York, 1970. Zbl0209.05503MR255673
  6. László Fuchs. Infinite abelian groups. Vol. II. Academic Press, New York, 1973. Pure and Applied Mathematics. Vol. 36-II. Zbl0257.20035MR349869
  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. Zbl1135.52008MR2350150
  9. A. Pethő. On the periodic expansion of algebraic numbers. Ann. Univ. Sci. Budapest. Sect. Comput., 18:167–174, 1999. Zbl0977.11006MR2118256
  10. Klaus Scheicher and Jörg M. Thuswaldner. Digit systems in polynomial rings over finite fields. Finite Fields Appl., 9(3):322–333, 2003. Zbl1031.11003MR1983052

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