Geodesic
On the multiplicity function of ergodic group extensions of rotations
Studia Mathematica, Tome 102 (1992) no. 2, pp. 157-174

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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.
DOI : 10.4064/sm-102-2-157-174

G. R. Goodson 1

1 
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G. R. Goodson. On the multiplicity function of ergodic group extensions of rotations. Studia Mathematica, Tome 102 (1992) no. 2, pp. 157-174. doi: 10.4064/sm-102-2-157-174

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