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- W2953099995 abstract "To a given Pisot unit $beta$ we associate a finite abelian group whose size appears to be equal to the discriminant of $beta$. We call it the Pisot group and find its representation in the two-sided $beta$-compactum in the case of $beta$ satisfying the relation $Fin(beta)=Bbb Z[beta]cap[0,1)$. As a motivation for the definition, we show that the Pisot group is the kernel of some important arithmetic coding of the toral automorphism given by the companion matrix naturally associated with $beta$." @default.
- W2953099995 created "2019-06-27" @default.
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- W2953099995 date "1999-12-23" @default.
- W2953099995 modified "2023-09-27" @default.
- W2953099995 title "An arithmetic group associated with a Pisot unit and its symbolic-dynamical representatiom" @default.
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