Degrees of constant-to-one factor maps

Trow, Paul

doi:10.1090/S0002-9939-1988-0938666-4

Degrees of constant-to-one factor maps
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Proc. Amer. Math. Soc. 103 (1988), 184-188 Request permission

Abstract:

Let $f$ be a constant-to-one endomorphism of degree $d$, of a sub-shift of finite type ${\Sigma _A}$. If $p$ is a prime dividing $d$, then $p$ divides every nonleading coefficient of ${\chi _A}$, the characteristic polynomial for $A$. Further constraints are given for the possible degrees of a constant-to-one factor map between subshifts of finite type.

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