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Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
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José L. Rodríguez
Veröffentlicht/Copyright:
27. Juli 2005
Abstract
In this paper we answer negatively a question posed by Casacuberta, Farjoun, and Libman about the preservation of perfect groups under localization functors. Indeed, we show that a certain P-localization of Berrick and Casacuberta's universal acyclic group is not perfect. We also investigate under which conditions perfectness is preserved: For instance, we show that if the localization of a perfect group is finite then it is perfect.
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Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
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Artikel in diesem Heft
- On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups II
- Approximating L2-Signatures by Their Compact Analogues
- Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
- On Certain Functional and Partial Differential Equations
- Spectral Asymptotics of Generalized Measure Geometric Laplacians on Cantor Like Sets
- Hessian of the Zeta Function for the Laplacian on Forms
- Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
Artikel in diesem Heft
- On the Trace of Hecke Operators for Maass Forms for Congruence Subgroups II
- Approximating L2-Signatures by Their Compact Analogues
- Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
- On Certain Functional and Partial Differential Equations
- Spectral Asymptotics of Generalized Measure Geometric Laplacians on Cantor Like Sets
- Hessian of the Zeta Function for the Laplacian on Forms
- Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
