ausblenden:
Schlagwörter:
Mathematics, Group Theory, Dynamical Systems
Zusammenfassung:
We prove that the growth rate of an endomorphism of a finitely generated
nilpotent group equals to the growth rate of induced endomorphism on its
abelinization, generalizing the corresponding result for an automorphism in
[14]. We also study growth rates of endomorphisms for specific solvable groups,
lattices of Sol, providing a counterexample to a known result in [5] and
proving that the growth rate is an algebraic number.
