Spinal groups: semidirect product decompositions and Hausdorff dimension

DOI10.1515/JGT.2010.060zbMath1251.20028MaRDI QIDQ3096072

Amaia Zugadi-Reizabal, Gustavo A. Fernández-Alcober

Publication date: 7 November 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionprofinite groupsclosed subgroups\(p\)-adic rooted treespinal groups

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (4)

The finitely generated Hausdorff spectra of a family of pro-\(p\) groups ⋮ BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS ⋮ GGS-groups: Order of congruence quotients and Hausdorff dimension ⋮ Hausdorff dimension of the second Grigorchuk group

Cites Work

• 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
• 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

This page was built for publication: Spinal groups: semidirect product decompositions and Hausdorff dimension