---
res:
  bibo_abstract:
  - "We describe the group of $\\mathbb Z$-linear automorphisms of the ring of\r\nintegers
    of a number field $K$ that preserve the set $V_{K,k}$ of $k$th\r\npower-free integers:
    every such map is the composition of a field automorphism\r\nand the multiplication
    by a unit.\r\n  We show that those maps together with translations generate the
    extended\r\nsymmetry group of the shift space $\\mathbb D_{K,k}$ associated to
    $V_{K,k}$.\r\nMoreover, we show that no two such dynamical systems $\\mathbb D_{K,k}$
    and\r\n$\\mathbb D_{L,l}$ are topologically conjugate and no one is a factor system
    of\r\nanother.\r\n  We generalize the concept of $k$th power-free integers to
    sieves and study\r\nthe resulting admissible shift spaces.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Fabian
      foaf_name: Gundlach, Fabian
      foaf_surname: Gundlach
      foaf_workInfoHomepage: http://www.librecat.org/personId=100450
  - foaf_Person:
      foaf_givenName: Jürgen
      foaf_name: Klüners, Jürgen
      foaf_surname: Klüners
      foaf_workInfoHomepage: http://www.librecat.org/personId=21202
  dct_date: 2024^xs_gYear
  dct_language: eng
  dct_title: Symmetries of power-free integers in number fields and their shift  spaces@
...
