Results 41 to 50 of about 87 (78)
Convexity in hierarchically hyperbolic spaces [PDF]
Hierarchically hyperbolic spaces (HHSs) are a large class of spaces that provide a unified framework for studying the mapping class group, right-angled Artin and Coxeter groups, and many 3-manifold groups.
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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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Two-sided homological properties of special and one-relator monoids
Forum of Mathematics, SigmaA monoid presentation is called special if the right-hand side of each defining relation is equal to 1. We prove results which relate the two-sided homological finiteness properties of a monoid defined by a special presentation with those of its group of
Robert D. Gray, Benjamin Steinberg
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c ○ Geometry & Topology Publications
, 2001 We define graph products of families of pairs of groups and study the question when two such graph products are commensurable. As an application we prove linearity of certain graph products.
Tadeusz Januszkiewicz
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, 2008 We describe a correspondence between spaces with walls and CAT(0) cube complexes.
Bogdan Nica
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Actions of picture groups on CAT(0) cubical complexes
, 2014 . A class of groups, called picture groups, is defined. Richard Thompson’s groups F, T, and V are all picture groups. Each picture group is shown to act properly and isometrically on a CAT(0) cubical complex.
Daniel S. Farley
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SOME PROPERTIES OF MEDIAN METRIC SPACES
, 2014 . We decribe a number of properties of a median met-ric space. In particular, we show that a complete connected me-dian metric of finite rank admits a cononical bilipschitz equivalent CAT(0) metric.
Brian H. Bowditch
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A simple criterion for non-relative hyperbolicity and one-endedness of groups
, 2008 We give a combinatorial criterion that implies both the non-strong relative hyperbolicity and the one-endedness of a finitely generated group. We use this to show that many important classes of groups do not admit a strong relatively hyperbolic group ...
Javier Aramayona +2 more
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Extension of Paul Erdős graph on hypergroups
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis paper introduces ultra non-commutative graphs derived from ultra non-commutative hypergroups. Vertices represent ultra non -commutative elements of the hypergroup U, defined as AU = {x ∈ U |Ǝy ∈ U, y ○ x ∩ x ○ y = ∅}. An edge connects vertices x and
Shamsadini S. +3 more
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Quasiflats with holes in reductive groups
, 2004 We give a new proof of a theorem of Kleiner-Leeb: that any quasi-isometrically embedded Euclidean space in a product of symmetric spaces and Euclidean buildings is contained in a metric neighborhood of finitely many flats, as long as the rank of the ...
Kevin Wortman
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