Publication

The subgroup measuring the defect of the abelianization of $$\mathrm{sl}_2(\mathbb{z }[i])$$

Rahm, Alexander D.
Identifiers
http://hdl.handle.net/10379/13566
 https://doi.org/10.13025/27678
Publication Date
2013-02-10
Keywords
picard modular group, modular tree, imaginary quadratic integers, psl2
Type
Article
Downloads
Show all metadata
Citation
Rahm, Alexander D. (2013). The subgroup measuring the defect of the abelianization of $$\mathrm{sl}_2(\mathbb{z }[i])$$. Journal of Homotopy and Related Structures 9 (2), 257-262
Abstract
There is a natural inclusion of into , but it does not induce an injection of commutator factor groups (Abelianizations). In order to see where and how the -torsion of the Abelianization of disappears,we study a double cover of the amalgamated product decomposition inside ; and then compute the homology of the covering amalgam.
Funder
Publisher
Springer Nature
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
Collections
Externally hosted open access publications with University of Galway authors (2)