## Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972: "Classical" Algebraic K-Theory, and Connections with Arithmetic |

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### Contents

Homotopy properties of | 8 |

3 Free algebras and free products | 17 |

S5 Stability and indecomposable | 26 |

Copyright | |

57 other sections not shown

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### Common terms and phrases

abelian group affine algebraic K-theory assume automorphism bijective chain complex char(k Chevalley groups coherent commutative ring Conjecture contains Corollary cyclic defined deg(v denote Department of Mathematics diagram dimension direct summand elements epimorphism equivalent exact sequence example extension finite field finite group finitely generated projective follows free product functor G-sets g.f.p. structure Green-functor group ring Hence homomorphism homotopy implies induced injective integer irreducible isomorphism k-mod kernel L'homomorphisme Lemma Let F Let G Mackey-functor Math matrix Milnor module morphism multiplication nilpotent noetherian noetherian ring normal notation number field p-group pair Pfister forms polynomial pre-Mackey-functors prime ideal problem projective A-module projective modules Proof Prop Proposition prove quadratic Quillen rank regular resp result roots of unity semi-local ring splits Steinberg symbols subgroup Suppose surjective Theorem topology torsion trivial University vanishes X-projective zero