Core dimension group constraints for factors of sofic shifts
Paul B. Trow, Susan G. Williams · Ergodic Theory and Dynamical Systems · 1993
Abstract We give constraints on the existence of factor maps between sofic shifts. These constraints yield examples of sofic shifts of entropy lognwhich do not factor onto the fulln-shift. We also show that any prime which divides the degree of an endomorphism of a sofic shift must divide the non-leading coefficients of the characteristic polynomial of the core matrix of the shift.