Cubic Pisot units with finite beta expansions

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SYMMETRIC SHIFT RADIX SYSTEMS AND FINITE EXPANSIONS (2007, background): “8 is substantially stronger than the one in [3] where the cubic Pisot units with (F) are classified.”
Beta-expansions, natural extensions and multiple tilings associated with Pisot units (2009, unknown): “By Lemma 1 in [Aki00], β > 1 is a cubic Pisot unit if and only if it is the root of an irreducible polynomial x(3) − c1x(2) − c2x − c3 ∈ Z[x] with |c3| = 1 and |c2 − 1| < c1 + c3.”
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions (2007, unknown): “D S] 1 8 O ct 2 00 7”
Topological Properties of Rauzy Fractals (2010, methodology): “There exist several sufficient conditions for property (F) for specific classes of substitutions related to betanumeration ([6, 26, 67]).”
A CERTAIN FINITENESS PROPERTY OF PISOT NUMBER SYSTEMS (2004, methodology): “i) c=1, b=a+1. This case has been treated by [ 2 ].”
Parry expansions of polynomial sequences. (2002, background): “For these ai, (F) was shown by Akiyama [1].”