Expanding maps and non-trivial self-covers on infra-nilmanifolds

DOI10.12775/TMNA.2016.010zbMath1384.22005arXiv1407.8106MaRDI QIDQ519291

Karel Dekimpe, Jonas Deré

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8106

zbMATH Keywords

nilpotent groupsinfra-nilmanifoldsexpanding mapsgraded Lie algebas

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Other geometric groups, including crystallographic groups (20H15) Solvable, nilpotent (super)algebras (17B30)

Related Items (7)

Periodic and eventually periodic points of affine infra-nilmanifold endomorphisms ⋮ Classification of K -forms in nilpotent Lie algebras associated to graphs ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Cantor dynamics of renormalizable groups ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Strongly scale-invariant virtually polycyclic groups ⋮ On closed manifolds admitting an Anosov diffeomorphism but no expanding map

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