Growth rate for endomorphisms of finitely generated nilpotent groups

DOI10.1515/jgth-2020-0097zbMath1467.20025OpenAlexW3070529412MaRDI QIDQ2208318

Jong Bum Lee, Alexander Fel'shtyn, Jang Hyun Jo

Publication date: 2 November 2020

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2020-0097

zbMATH Keywords

growth ratefinitely generated torsion-free nilpotent groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Nilpotent groups (20F18) Automorphism groups of groups (20F28)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Periodic ends, growth rates, Hölder dynamics for automorphisms of free groups
• Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Almost-Bieberbach groups: affine and polynomial structures
• Counting growth types of automorphisms of free groups.
• Growth rate of an endomorphism of a group
• Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
• DISTORTION IN FREE NILPOTENT GROUPS
• Anosov theorem for coincidences on nilmanifolds

This page was built for publication: Growth rate for endomorphisms of finitely generated nilpotent groups