Article
Licensed
Unlicensed
Requires Authentication
Preservation of Perfectness and Acyclicity: Berrick and Casacuberta's Universal Acyclic Space Localized at a Set of Primes
-
José L. Rodríguez
Published/Copyright:
July 27, 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.
:
Published Online: 2005-07-27
Published in Print: 2005-01-01
© de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- 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
Articles in the same Issue
- 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
