Results 1 to 10 of about 440 (53)
BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO-$p$ GROUPS
Forum of Mathematics, Pi, 2020 In their book Subgroup Growth, Lubotzky and Segal asked: What are the possible types of subgroup growth of the pro-$p$ group? In this paper, we construct certain extensions of the Grigorchuk group and the Gupta–Sidki groups, which have all possible types
YIFTACH BARNEA +1 more
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AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM
Forum of Mathematics, Pi, 2016 We give an alternate proof of Wise’s malnormal special quotient theorem (MSQT), avoiding cubical small cancelation theory. We also show how to deduce Wise’s Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu and Wise and Haglund and Wise.
IAN AGOL +2 more
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A family of fractal non-contracting weakly regular branch groups
, 2020 We construct a new family of groups that is non-contracting and weakly regular branch over the derived subgroup. This gives the first example of an infinite family of groups acting on a $d$-adic tree, with $d \geq 2$, with these ...
Noce, Marialaura
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On the congruence subgroup property for GGS-groups [PDF]
, 2016 We show that all GGS-groups with non-constant defining vector satisfy the congruence subgroup property. This provides, for every odd prime $p$, many examples of finitely generated, residually finite, non-torsion groups whose profinite completion is a pro-
Fernández-Alcober, Gustavo A. +2 more
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Mumford curves with maximal automorphism group II: Lame type groups in genus 5-8 [PDF]
, 2002 A Mumford curve of genus g=5,6,7 or 8 over a non-archimedean field of characteristic p (such that if p=0, the residue field characteristic exceeds 5) has at most 12(g-1) automorphisms.
Cornelissen, Gunther, Kato, Fumiharu
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Limit trees for free group automorphisms: universality
Forum of Mathematics, SigmaTo any free group automorphism, we associate a universal (cone of) limit tree(s) with three defining properties: first, the tree has a minimal isometric action of the free group with trivial arc stabilizers; second, there is a unique expanding dilation ...
Jean Pierre Mutanguha
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Finite self-similar p-groups with abelian first level stabilizers
, 2010 We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a ...
Berlatto A. +9 more
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Tree-like graphings, wallings, and median graphings of equivalence relations
Forum of Mathematics, SigmaWe prove several results showing that every locally finite Borel graph whose large-scale geometry is ‘tree-like’ induces a treeable equivalence relation.
Ruiyuan Chen +3 more
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Growth Functions of Fr-sets [PDF]
, 2012 2010 Mathematics Subject Classification: 05C30, 20E08, 20F65.In this paper we consider an open problem from [1], regarding the description of the growth functions of the free group acts.
Lomond, Jonny
core
Generalized iterated wreath products of cyclic groups and rooted trees correspondence
, 2018 Consider the generalized iterated wreath product $\mathbb{Z}_{r_1}\wr \mathbb{Z}_{r_2}\wr \ldots \wr \mathbb{Z}_{r_k}$ where $r_i \in \mathbb{N}$. We prove that the irreducible representations for this class of groups are indexed by a certain type of ...
CM Rader +15 more
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