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20182026
most citedCayley-Abels graphs: Local and global perspectives

2 citations · 3 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.GR2026

Compact Invariant Random Subgroups

Tal Cohen, Helge Glöckner, Gil Goffer +1

We study ergodic invariant random subgroups that give full measure to the subset of compact subgroups. We show that in real Lie groups, compactly generated -adic Lie groups, loc…

math.GR2025

Critical exponents of boomerang subgroups in the free group

Waltraud Lederle

We construct, for the free group acting on its Cayley tree, boomerang subgroups whose critical exponent is arbitrarily close to the critical exponent of a given finitely generated…

math.GR2025

Elementwise conservative actions and new constructions of boomerang subgroups

Yair Glasner, Tobias Hartnick, Waltraud Lederle

We show that countable non-abelian free groups admit uncountably many mutually singular elementwise conservative non-singular random subgroups, which are supported on infinite subg…

math.GR20222 cited

Cayley-Abels graphs: Local and global perspectives

Waltraud Lederle

We give an introduction to the Cayley-Abels graph for a totally disconnected, locally compact (tdlc) group. It is a generalization of the Cayley graph. We illustrate that on the on…

math.GR2021

Cayley--Abels graphs and invariants of totally disconnected, locally compact groups

Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller

A connected, locally finite graph is a Cayley--Abels graph for a totally disconnected, locally compact group if acts vertex-transitively with compact, open vertex stabi…

math.GR2019

Conjugacy and Dynamics in Almost Automorphism Groups of Trees

Gil Goffer, Waltraud Lederle

We determine when two almost automorphisms of a regular tree are conjugate. This is done by combining the classification of conjugacy classes in the automorphism group of a level-h…