Results 1 to 10 of about 409 (20)
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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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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Freiheitss\"{a}tze for one-relator quotients of surface groups and of limit groups [PDF]
, 2007 Three versions of the Freiheitssatz are proved in the context of one-relator quotients of limit groups, where the latter are equipped with 1-acylindrical splittings over cyclic subgroups. These are natural extensions of previously published corresponding
Howie, James, Saeed, Muhammad Sarwar
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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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No-splitting property and boundaries of random groups [PDF]
, 2009 We prove that random groups in the Gromov density model, at any density, satisfy property (FA), i.e. they do not act non-trivially on trees. This implies that their Gromov boundaries, defined at density less than 1/2, are Menger curves.Comment: 20 ...
A. Żuk +13 more
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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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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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A very short proof of Forester's rigidity result
, 2003 The deformation space of a simplicial G-tree T is the set of G-trees which can be obtained from T by some collapse and expansion moves, or equivalently, which have the same elliptic subgroups as T.
Karrass, Scott, Vincent Guirardel
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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
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