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              <p>We present a technique to lift some tilings of the discrete hyperbolic plane –tilings defined by a 1D substitution– into a zero entropy subshift of finite type (SFT) on non-abelian amenable groups BS(1,n)  for n&gt;=2. For well chosen hyperbolic tilings, this SFT is also aperiodic and minimal. As an application we construct a strongly aperiodic SFT on BS(1,n)  with a hierarchical structure, which is an analogue of Robinson’s construction on  or Goodman–Strauss’s on H^2.</p>
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              <p>&lt;div xmlns="http://www.tei-c.org/ns/1.0"&gt; BS(1, n) &lt;p&gt;Pavages hyperboliques engendrés par une substitution comme sous-décalages de type fini sur les groupes de Baumslag-Solitar BS (1, n) &lt;/p&gt;&lt;/div&gt;</p>
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