$K_{3}$ of a ring is $H_{3}$ of the Steinberg group
HTML articles powered by AMS MathViewer
- by S. M. Gersten PDF
- Proc. Amer. Math. Soc. 37 (1973), 366-368 Request permission
Abstract:
A proof of the result of the title is given using standard results of algebraic topology.References
- Emmanuel Dror, A generalization of the Whitehead theorem, Symposium on Algebraic Topology (Battelle Seattle Res. Center, Seattle, Wash., 1971) Lecture Notes in Math., Vol. 249, Springer, Berlin, 1971, pp. 13–22. MR 0350725
- Michel A. Kervaire, Multiplicateurs de Schur et $K$-théorie, Essays on Topology and Related Topics (Mémoires dédiés à Georges de Rham), Springer, New York, 1970, pp. 212–225 (French). MR 0274558 S. Mac Lane, Homology, Die Grundlehren der math. Wissenschaften, Band 114, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 28 #122.
- Daniel Quillen, Cohomology of groups, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 47–51. MR 0488054 —, Cohomology of groups and algebraic K-theory, Amer. Math. Soc. Winter Meeting, Atlantic City, N.J., 1971.
- R. G. Swan, Algebraic $K$-theory, Lecture Notes in Mathematics, No. 76, Springer-Verlag, Berlin-New York, 1968. MR 0245634
Additional Information
- © Copyright 1973 American Mathematical Society
- 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