Milnor, John W.

Introduction to algebraic K-theory / John Milnor. - Princeton, N.J., Princeton University Press, 1971. - xiii, 184 p. 24 cm. - Annals of mathematics studies, no. 72 .

Includes bibliographical references.

1. Projective Modules and K0LAMBDA, pg. 1* 2 . Constructing Projective Modules, pg. 19* 3. The Whitehead Group K1LAMBDA, pg. 25* 4. The Exact Sequence Associated with an Ideal, pg. 33* 5. Steinberg Groups and the Functor K2, pg. 39* 6. Extending the Exact Sequences, pg. 53* 7. The Case of a Commutative Banach Algebra, pg. 57* 8. The Product K1LAMBDA K1LAMBDA --> K2LAMBDA, pg. 63* 9. Computations in the Steinberg Group, pg. 71* 10. Computation of K2Z, pg. 81* 11. Matsumoto's Computation of K2 of a Field, pg. 93*12. Proof of Matsumoto's Theorem, pg. 109* 13. More about Dedekind Domains, pg. 123* 14. The Transfer Homomorphism, pg. 137* 15. Power Norm Residue Symbols, pg. 143* 16. Number Fields, pg. 155*Appendix. Continuous Steinberg Symbols, pg. 165*Index, pg. 183

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Associative rings.
Abelian groups.
Functor theory.

512.4 / MIL/I