The entropy of solvable groups

DOI10.1017/S0143385702000937zbMath1062.20039OpenAlexW2015249920MaRDI QIDQ4467706

Denis V. Osin

Publication date: 10 June 2004

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702000937

zbMATH Keywords

entropysubgroups of finite indexnilpotent groupsgrowth functionsword lengthsfinitely generated solvable group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Orbit growth in dynamical systems (37C35) Topological entropy (37B40)

Related Items (18)

Relating exponential growth in a manifold and its fundamental group ⋮ Compactness and Finiteness Results for Gromov-Hyperbolic Spaces ⋮ Exponential growth rates of free and amalgamated products. ⋮ A gap property for the growth of closed 3-manifold groups. ⋮ Geometric structures in group theory. Abstracts from the workshop held June 2--8, 2013. ⋮ Examples of uniform exponential growth in algebras ⋮ Quantitative rigidity of almost maximal volume entropy for both \(\mathsf{RCD}^\ast\) spaces and integral Ricci curvature bound ⋮ A Wilson group of non-uniformly exponential growth. ⋮ Uniform growth of groups acting on Cartan-Hadamard spaces. ⋮ Groups acting on CAT(0) cube complexes with uniform exponential growth ⋮ Some finiteness results for groups with bounded algebraic entropy. ⋮ Algebraic entropy of elementary amenable groups. ⋮ On uniform exponential growth for linear groups. ⋮ On the conjugacy growth functions of groups. ⋮ On conjugacy growth for solvable groups. ⋮ Book Review: How groups grow ⋮ Growth of relatively hyperbolic groups ⋮ Growth of discrete groups of isometries in negative curvature: a gap-property.

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