NDLI: Divisibility Constraints on Degrees of Factor Maps

Content Provider	Scilit
Author	Trow, Paul
Copyright Year	1991
Description	We show that the degree of a finite-to-one factor map $f:{\sum _A} \to {\sum _B}$ between shifts of finite type is constrained by the factors of ${\chi _A}$ and ${\chi _B}$. A special case of these constraints is that if $^B$, then the degree of $f$ is a unit in $\mathbb {Z}[1/{\det ^}B]$ (where $^A$ is the rank of the Jordan form away from 0 of $A$, and ${\det ^}B$ is the determinant of the Jordan form away from 0 of $B$).
Related Links	https://www.ams.org/proc/1991-113-03/S0002-9939-1991-1056686-9/S0002-9939-1991-1056686-9.pdf
Ending Page	760
Page Count	6
Starting Page	755
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2048613
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	113
Language	English
Publisher	Duke University Press
Publisher Date	1991-11-01
Access Restriction	Open
Subject Keyword	Logic Constraints Divisibility Factor Map Shifts Rank Mathbb Special Det Jordan
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Divisibility Constraints on Degrees of Factor Maps