A group of intermediate growth acting by homomorphisms on the real line

DOI10.1007/BF01208318zbMath0806.20027MaRDI QIDQ1326030

V. Pereyra

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

growth functiontorsion-free groupalmost nilpotentfinite system of generatorsresidually solvalbesubgroup of intermediate growth

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (9)

On centralizers of interval diffeomorphisms in critical (intermediate) regularity ⋮ A universal nilpotent group of \(C^1\) diffeomorphisms of the interval ⋮ Groups of line and circle diffeomorphisms. Criteria for almost nilpotency and structure theorems ⋮ Nilpotent dynamics in dimension one: structure and smoothness ⋮ On the Gap Conjecture concerning group growth ⋮ Direct products, overlapping actions, and critical regularity ⋮ $3$-Manifold Groups are Virtually Residually $p$ ⋮ Markovian properties of continuous group actions: algebraic actions, entropy and the homoclinic group ⋮ Harmonic models and Bernoullicity

Cites Work

• Unnamed Item
• Groups of piecewise linear homeomorphisms of the real line
• Leaves whose growth is neither exponential nor polynomial
• Relatively convex subgroups of orderable groups
• The lattice-ordered group of automorphisms of an ordered set

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