Remarks on some one-ended groups
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Daniele Ettore Otera
Abstract
In this note, we study the condition of being one-ended for a particular class of discrete groups, namely groups acting freely and co-compactly on some CAT(0) square complexes. In particular, we furnish an algorithm that associates to a one-ended squared group another square complex which is “smaller” and more tractable than the one given by the definition of the group, in particular with nicer local connectivity conditions.
(Communicated by Anatolij Dvurečenskij)
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Articles in the same Issue
- Copies of monomorphic structures
- Endomorphism kernel property for extraspecial and special groups
- Sums of Tribonacci numbers close to powers of 2
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- Monogenic even cyclic sextic polynomials
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- Degree of independence in non-archimedean fields
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- Some new characterizations of weights for hardy-type inequalities with kernels on time scales
- Inequalities for Riemann–Liouville fractional integrals in co-ordinated convex functions: A Newton-type approach
- Radius estimates for functions in the class 𝒰r(λ)
- Sharp bounds on the logarithmic coefficients of inverse functions for certain classes of univalent functions
- More q-congruences from Singh’s quadratic transformation
- Stability and controllability of cycled dynamical systems
- Existence, uniqueness, and multiplicity of radially symmetric k-admissible solutions for k-hessian equations
- Strong solution of a Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flows with surfactant
- Coincidence points via tri-simulation functions with an application in integral equations
- On Fong-Tsui conjecture and binormality of operators
- Riemannian maps of CR-submanifolds of Kaehler manifolds
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