Abstract commensurators of profinite groups

DOI10.1090/S0002-9947-2011-05295-5zbMath1244.20026arXiv0810.2060OpenAlexW3100066592MaRDI QIDQ3093476

Yiftach Barnea, Mikhail V. Ershov, Thomas S. Weigel

Publication date: 17 October 2011

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

Full work available at URL: https://arxiv.org/abs/0810.2060

zbMATH Keywords

subgroups of finite indexprofinite groupsNottingham groupabsolute Galois groupsGrigorchuk groupcommensuratorstotally disconnected locally compact groupsvirtual automorphismstopologically simple envelopes

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Automorphism groups of locally compact groups (22D45) Automorphisms of infinite groups (20E36) General properties and structure of locally compact groups (22D05) Limits, profinite groups (20E18)

Related Items

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY ⋮ LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ Non-discrete simple locally compact groups ⋮ Groups acting on trees with almost prescribed local action ⋮ Index-stable compact \(p\)-adic analytic groups ⋮ Trees, contraction groups, and Moufang sets. ⋮ Locally normal subgroups of simple locally compact groups ⋮ On the structure of just infinite profinite groups. ⋮ Compact presentability of tree almost automorphism groups ⋮ Totally disconnected locally compact groups locally of finite rank ⋮ Some topics in the dynamics of group actions on rooted trees. ⋮ Simple locally compact groups acting on trees and their germs of automorphisms. ⋮ On some pro-\(p\) groups from infinite-dimensional Lie theory ⋮ Just infiniteness of the generalized Nottingham group ⋮ On strongly just infinite profinite branch groups ⋮ A lattice in more than two Kac-Moody groups is arithmetic. ⋮ Algebra, geometry, and topology of the substitution group of formal power series ⋮ Computing the scale of an endomorphism of a totally disconnected locally compact group ⋮ On the commensurator of the Nottingham group ⋮ Bounding the covolume of lattices in products ⋮ Elementary totally disconnected locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homomorphismes abstraits de groupes algébriques simples
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Large hereditarily just infinite groups.
• Isomorphisms of Galois groups
• Compact subgroups of linear algebraic groups
• On Grothendieck's conjecture of birational anabelian geometry
• The structure of totally disconnected, locally compact groups
• Index-subgroups of the Nottingham group.
• Profinite groups of finite cohomological dimension.
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Topological simplicity, commensurator super-rigidity and nonlinearities of Kac-Moody groups
• Abstract commensurators of groups acting on rooted trees.
• New just-infinite pro-\(p\) groups of finite width and subgroups of the Nottingham group.
• Automorphisms of the Nottingham group
• Compact open subgroups in simple totally disconnected groups
• \(p\)-adic analytic groups
• Kennzeichnung der p-adischen und der endlichen algebraischen Zahlkörper
• On the commensurator of the Nottingham group
• Field Theory
• Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
• A Version of the Grothendieck Conjecture for p-Adic Local Fields
• On just infinite pro-p-groups and arithmetically profinite extensions of local fields
• Kennzeichnung der endlich-algebraischen Zahlkörper durch die Galoisgruppe der maximal auflösbaren Erweiterungen.
• The automorphism tower of groups acting on rooted trees
• Groups acting on trees: From local to global structure