The scale and tidy subgroups for endomorphisms of totally disconnected locally compact groups

DOI10.1007/S00208-014-1074-YzbMath1308.22002arXiv1312.1506OpenAlexW1975281525MaRDI QIDQ2255283

George A. Willis

Publication date: 9 February 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1506

zbMATH Keywords

locally compact grouptidy subgroupscaletotally disconnected groupcontinuous endomorphismminimizing subgroup

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) General properties and structure of locally compact groups (22D05)

Related Items (17)

Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups ⋮ Topological entropy for locally linearly compact vector spaces ⋮ A classification theorem for boundary 2-transitive automorphism groups of trees ⋮ Two new proofs concerning the intrinsic algebraic entropy ⋮ A totally disconnected invitation to locally compact groups ⋮ Separating notions in effective topology ⋮ Topological entropy in totally disconnected locally compact groups ⋮ Distal actions on coset spaces in totally disconnected locally compact groups ⋮ FINITENESS OF TOPOLOGICAL ENTROPY FOR LOCALLY COMPACT ABELIAN GROUPS ⋮ Algebraic Entropy in Locally Linearly Compact Vector Spaces ⋮ Computing the scale of an endomorphism of a totally disconnected locally compact group ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Algebraic entropy on topologically quasihamiltonian groups ⋮ Algebraic entropy on strongly compactly covered groups ⋮ Intrinsic valuation entropy ⋮ Computable topological abelian groups ⋮ Expansive dynamics on profinite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Commensurated subgroups of arithmetic groups, totally disconnected groups and adelic rigidity
• Scale function vs topological entropy
• Endomorphisms of profinite groups.
• An invariant for difference field extensions
• Scale functions on linear groups over local skew fields
• Scale functions on \(p\)-adic Lie groups
• Simplicity of Neretin's group of spheromorphisms.
• The structure of totally disconnected, locally compact groups
• Groups of hierarchomorphisms of trees and related Hilbert spaces
• Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices
• Concentration functions in locally compact groups
• A taste of topology
• The nub of an automorphism of a totally disconnected, locally compact group
• Simple groups without lattices
• Structure Theory of Totally Disconnected Locally Compact Groups via Graphs and Permutations
• Locally compact groups with dense orbits under $\bm{\mathbb{Z}}^{\bm{d}}$-actions by automorphisms
• Some two-generator one-relator non-Hopfian groups
• Endomorphisms of infinite Soluble Groups
• Finitely Generated Non-Hopfian Groups
• Dense orbits and compactness of groups
• Injective Endomorphisms of the Baumslag–Solitar Group
• Further properties of the scale function on a totally disconnected group

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