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$ K\sb{3}$ of a ring is $ H\sb{3}$ of the Steinberg group


Author: S. M. Gersten
Journal: Proc. Amer. Math. Soc. 37 (1973), 366-368
MSC: Primary 18F25
DOI: https://doi.org/10.1090/S0002-9939-1973-0320114-8
MathSciNet review: 0320114
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Abstract: A proof of the result of the title is given using standard results of algebraic topology.


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    Luc Illusie, Travaux de Quillen sur la cohomologie des groupes, Séminaire Bourbaki, 24e année (1971/1972), Exp. No. 405, Springer, Berlin, 1973, pp. 89–105. Lecture Notes in Math., Vol. 317 (French). MR 0488055
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0320114-8
Keywords: $ {K_3}$ of a ring, Steinberg group, third homology group of a group, central extension
Article copyright: © Copyright 1973 American Mathematical Society