Syzygies and Homotopy Theory

Syzygies and Homotopy Theory

by F.E.A. Johnson


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Product Details

ISBN-13: 9781447158127
Publisher: Springer London
Publication date: 01/24/2014
Series: Algebra and Applications , #17
Edition description: 2012
Pages: 296
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

Preliminaries.- The restricted linear group.- The calculus of corners and squares.- Extensions of modules.- The derived module category.- Finiteness conditions.- The Swan mapping.- Classification of algebraic complexes.- Rings with stably free cancellation.- Group rings of cyclic groups.- Group rings of dihedral groups.- Group rings of quaternionic groups.- Parametrizing W1 (Z) : generic case.- Parametrizing W1 (Z) : singular case.- Generalized Swan modules.- Parametrizing W1 (Z) : G = C¥ ´ F.- Conclusion​.

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