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On the rank of a class of bijective substitutions

G. Goodson; M. Lemańczyk — 1990

Studia Mathematica

On the multiplicity function of ergodic group extensions of rotations

G. Goodson; J. Kwiatkowski; M. Lemańczyk; P. Liardet — 1992

Studia Mathematica

For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.

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