Finiteness properties and relatively hyperbolic groups
Copyright policy )Finiteness properties and relatively hyperbolic groups
AbstractWe show that properties and hold for a relatively hyperbolic group if and only if they hold for all the peripheral subgroups. As an application we show that there are at least countably many distinct quasi‐isometry classes of one‐ended non‐amenable groups that are type but not and similarly of type and not for all positive integers .
- University of Bristol United Kingdom
Homological methods in group theory, Topological methods in group theory, relative Rips complex, finiteness property, Group Theory (math.GR), quasi-isometry, Hyperbolic groups and nonpositively curved groups, CW-complex, Asymptotic properties of groups, relatively hyperbolic group, Group Theory, FOS: Mathematics, Cohomology of groups, Geometric group theory
Homological methods in group theory, Topological methods in group theory, relative Rips complex, finiteness property, Group Theory (math.GR), quasi-isometry, Hyperbolic groups and nonpositively curved groups, CW-complex, Asymptotic properties of groups, relatively hyperbolic group, Group Theory, FOS: Mathematics, Cohomology of groups, Geometric group theory
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