F.E.A. Johnson

Syzygies and Homotopy Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer London
• Erscheinungstermin: 17. November 2011
• Englisch
• ISBN-13: 9781447122944
• Artikelnr.: 37340760

Inhaltsangabe

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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 .

Rezensionen

From the reviews:
"The book Syzygies and Homotopy Theory is concerned with the algebraic classification of certain finite dimensional geometric complexes with a nontrivial, finitely presented fundamental group G and is directed towards to basic problems ... . Syzygies and Homotopy Theory is well written, nicely organized, and is a pleasure to read. One particularly attractive feature of the book is its attention to detail, and the background chapters may well appeal to an audience wider than that of specialists." (Marek Golasinski, Zentralblatt MATH, Vol. 1233, 2012)