Results 41 to 50 of about 1,439 (77)
Bounding the homological finiteness length
, 2012 We give a criterion for bounding the homological finiteness length of certain HF-groups. This is used in two distinct contexts. Firstly, the homological finiteness length of a non-uniform lattice on a locally finite n-dimensional contractible CW-complex ...
Gandini, Giovanni
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Thompson’s group T has quadratic Dehn function
Forum of Mathematics, SigmaWe prove that Thompson’s group T and, more generally, all the Higman–Thompson groups $T_n$ have quadratic Dehn function.
Matteo Migliorini
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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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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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Group cubization (with an appendix by Mikael Pichot)
, 2017 We present a procedure of group cubization: It results in a group whose some features resemble the ones of a given group, and which acts without fixed points on a CAT(0) cubical complex.
Osajda, Damian
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Posets arising from decompositions of objects in a monoidal category
Forum of Mathematics, SigmaGiven a symmetric monoidal category ${\mathcal C}$ with product $\sqcup $ , where the neutral element for the product is an initial object, we consider the poset of $\sqcup $ -complemented subobjects of a given object X.
Kevin Ivan Piterman, Volkmar Welker
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Group Approximation in Cayley Topology and Coarse Geometry, Part II: Fibred Coarse Embeddings
Analysis and Geometry in Metric Spaces, 2019 The objective of this series is to study metric geometric properties of disjoint unions of Cayley graphs of amenable groups by group properties of the Cayley accumulation points in the space of marked groups.
Mimura Masato, Sako Hiroki
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Geometry of Generated Groups with Metrics Induced by Their Cayley Color Graphs
Analysis and Geometry in Metric Spaces, 2019 Let G be a group and let S be a generating set of G. In this article,we introduce a metric dC on G with respect to S, called the cardinal metric.We then compare geometric structures of (G, dC) and (G, dW), where dW denotes the word metric. In particular,
Suksumran Teerapong
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The conjugacy problem for $\operatorname {Out}(F_3)$
Forum of Mathematics, SigmaWe present a solution to the conjugacy problem in the group of outer automorphisms of $F_3$ , a free group of rank 3. We distinguish according to several computable invariants, such as irreducibility, subgroups of polynomial growth and subgroups ...
François Dahmani +3 more
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On homeomorphisms and quasi-isometries of the real line [PDF]
, 2006 We show that the group of all pl-homeomorphisms of the reals having bounded slopes surjects on the group $QI({\Bbb R})$ of all quasi-isometries of ${\Bbb R}$.
Sankaran, Parameswaran
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