FINITELY CONSTRAINED GROUPS OF MAXIMAL HAUSDORFF DIMENSION

DOI10.1017/S144678871500018XzbMath1384.20032arXiv1406.0522MaRDI QIDQ2788673

Andrew Penland, Zoran Šunić

Publication date: 22 February 2016

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0522

zbMATH Keywords

Hausdorff dimensiongroups acting on treesfinitely constrained groupsgroup tree shiftssymbolic dynamics on trees

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Topological dynamics (37B99) Compact groups (22C05) Symbolic dynamics (37B10) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (2)

Tree languages and branched groups ⋮ A language hierarchy and kitchens-type theorem for self-similar groups

Cites Work

• Cellular automata between sofic tree shifts
• Iterated monodromy groups of quadratic polynomials. I.
• Tree-shifts of finite type
• Branch rings, thinned rings, tree enveloping rings.
• Hausdorff dimension in a family of self-similar groups.
• ON THE WORD AND PERIOD GROWTH OF SOME GROUPS OF TREE AUTOMORPHISMS
• Pattern closure of groups of tree automorphisms
• Dimension and randomness in groups acting on rooted trees
• Hausdorff dimension of some groups acting on the binary tree
• Subgroups and subrings of profinite rings
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• ON FINITE GENERATION OF SELF-SIMILAR GROUPS OF FINITE TYPE

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