Syzygies and Homotopy Theory

Author:   F.E.A. Johnson
Publisher:   Springer London Ltd
Edition:   2012
Volume:   17
ISBN:  

9781447122937


Pages:   296
Publication Date:   17 November 2011
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Syzygies and Homotopy Theory


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Full Product Details

Author:   F.E.A. Johnson
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2012
Volume:   17
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.647kg
ISBN:  

9781447122937


ISBN 10:   1447122933
Pages:   296
Publication Date:   17 November 2011
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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​.

Reviews

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 Golasiński, Zentralblatt MATH, Vol. 1233, 2012)


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)


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