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K-groups of rings and the homology of their elementary matrix groups

Part of: Homological algebra Categories and geometry

Published online by Cambridge University Press:  09 April 2009

Janet Aisbett
Janet Aisbett
Affiliation:
Department of Mathematics University of QueenslandSt. Lucia 4067 Queensland, Australia
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Abstract

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Low dimensional algebraic K-groups of a commutative ring are described in terms of the homology of its elementary matrix group. This approach is prompted by recent successful computations of low-dimensional K-groups using group homology methods, and it builds on the identity K2(R)=H2(ER).

MSC classification

Secondary: 18F25: Algebraic $K$-theory and $L$-theory 18G40: Spectral sequences, hypercohomology
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 2 , April 1985 , pp. 268 - 274
Copyright
Copyright © Australian Mathematical Society 1985

References

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