Algebraic entropy of shift endomorphisms on abelian groups

Maryam Akhavin, Fatemah Ayatollah Zadeh Shirazi, Dikran Dikranjan +2

For every finite-to-one map $\lambda :\Gamma \to \Gamma$ and for every abelian group $K$, the generalized shift ${\sigma }_{\lambda }$ of the direct sum ${⨁}_{\Gamma }K$ is the endomorphism defined by $(x_i)_{i\inΓ}\ma…