FINITE SELF-SIMILAR p-GROUPS WITH ABELIAN FIRST LEVEL STABILIZERS

DOI10.1142/S0218196711006200zbMath1233.20019arXiv1001.1600MaRDI QIDQ2996851

Zoran Šunić

Publication date: 3 May 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.1600

zbMATH Keywords

split extensionsfinite \(p\)-groupsself-similar groupsvirtual endomorphismsself-similar actions on rooted trees

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Groups acting on trees (20E08)

Related Items (4)

On the self-similarity index of \(p\)-adic analytic pro-\(p\) groups ⋮ Freeness of automaton groups vs boundary dynamics ⋮ On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups ⋮ On self-similarity of \(p\)-adic analytic pro-\(p\) groups of small dimension

Cites Work

• Amenability via random walks.
• Thurston equivalence of topological polynomials
• On the Burnside problem for periodic groups
• Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity.
• Asymptotic aspects of Schreier graphs and Hanoi Towers groups.
• On a free group of transformations defined by an automaton.
• Hausdorff dimension in a family of self-similar groups.
• ON THE WORD AND PERIOD GROWTH OF SOME GROUPS OF TREE AUTOMORPHISMS
• ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON

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