TL;DR
This paper investigates the third homology group of the linear group GL_2 over a commutative ring with many units, providing insights into its algebraic structure and properties.
Contribution
It offers new results on the third homology of GL_2(R) for rings with many units, expanding understanding of algebraic K-theory.
Findings
Computed the third homology group for specific classes of rings.
Identified conditions under which the homology group exhibits particular properties.
Extended previous results to a broader class of rings.
Abstract
In this paper the third homology group of the linear group GL_2(R) with integral coefficients is investigated, where R is a commutative ring with many units.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology