Divisibility constraints on degrees of factor maps

Author:
Paul Trow

Journal:
Proc. Amer. Math. Soc. **113** (1991), 755-760

MSC:
Primary 28D05

DOI:
https://doi.org/10.1090/S0002-9939-1991-1056686-9

MathSciNet review:
1056686

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Abstract: We show that the degree of a finite-to-one factor map between shifts of finite type is constrained by the factors of and . A special case of these constraints is that if , then the degree of is a unit in (where is the rank of the Jordan form away from 0 of , and is the determinant of the Jordan form away from 0 of ).

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1991-1056686-9

Article copyright:
© Copyright 1991
American Mathematical Society