On self-similarity of \(p\)-adic analytic pro-\(p\) groups of small dimension
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Publication:2330441
DOI10.1016/j.jalgebra.2019.09.003zbMath1485.20071arXiv1812.09921OpenAlexW2972777798MaRDI QIDQ2330441
Publication date: 22 October 2019
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.09921
pro-\(p\) groupself-similar groupvirtual endomorphism\(p\)-adic analytic group\(p\)-adic Lie lattice
Lie algebras of Lie groups (22E60) General properties and structure of other Lie groups (22E20) Groups acting on trees (20E08) Limits, profinite groups (20E18)
Related Items
On the self-similarity index of \(p\)-adic analytic pro-\(p\) groups, On hereditarily self-similar \(p\)-adic analytic pro-\(p\) groups, Index-stable compact \(p\)-adic analytic groups, On pro-\(p\) groups with quadratic cohomology
Cites Work
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- On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
- Abelian state-closed subgroups of automorphisms of \(m\)-ary trees.
- On the Burnside problem for periodic groups
- On Burnside's problem on periodic groups
- Zeta functions related to the group of \(\text{SL}_2(\mathbb{Z}_p)\)
- On the Lie theory of \(p\)-adic analytic groups
- Arithmetic aspects of self-similar groups.
- Virtual endomorphisms of nilpotent groups.
- On \(p\)-saturable groups.
- FINITE SELF-SIMILAR p-GROUPS WITH ABELIAN FIRST LEVEL STABILIZERS
- Analytic pro-p groups of small dimensions
- The Generation of GL(n, Z) by Finite State Automata
