The subgroup measuring the defect of the abelianization of $$\mathrm{sl}_2(\mathbb{z }[i])$$
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2013-02-10Author
Rahm, Alexander D.
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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
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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.