Algebraic Topology Waterloo 1978 Proceedings of a Conference Sponsor
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741 Algebraic Topology Waterloo 1978 Proceedings of a Conference Sponsored by the Canadian Mathematical Society, NSERC (Canada), and the University of Waterloo, June 1978
Edited by Peter Hoffman and Victor Snaith
Springer-Verlag Berlin Heidelberg New York 1979
Editors
Peter Hoffman Department of Pure Mathematics University of Waterloo Waterloo, Ontario Canada N2L 3G1 Victor Snaith Department of Mathematics University of Western Ontario London, Ontario Canada N6A 5B9
AMS Subject Classifications (1980): lOC05, 13Dxx, 16A54, 18 Fxx, 18 G XX, 55-XX, 57-XX, 58Axx ISBN 3-540-09545-4 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-09545-4 Springer-Verlag New York Heidelberg Berlin Library of Congress Cataloging in Publication Data Main entry under title: Algebraic topology, Waterloo 1978. {Lecture notes in mathematics; 741} Bibliography: p. Includes index. 1. Algebraic topology--Congresses. I. Hoffman, Peter, 1941- II. Snaith, Victor Percy, 1944- III. Canadian Mathematical Congress {Society} IV. University of Waterloo. V. Series: Lecture notes in mathematics {Berlin} ; 741. 0A3.L28 no. 741 [QA612) 510'.8s [514'.2)79-20052 ISBN 0-387-09545-4 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher.
© by Springer-Verlag Berlin Heidelberg 1979
2141/3140-543210
FOREWORD The present volume contains the Proceedings of a conference held at the University of Waterloo in June of 1978.
The conference was
part of a Summer Research Institute of the Canadian Mathematical Society,
and was held simultaneously with a conference in Ring Theory
whose proceedings also appear in this series. The main emphasis was on L-theory and on topological and algebraic K-theory.
The volume is divided into four sections as indi-
cated in the table of contents. We would like to express our gratitude to all the participants for their contributions to the conference, Hambleton, Richard Kane,
Stan Kochman,
Sharpe for help with this volume.
and particularly to Ian
Reinhardt Schultz and Rick
We are grateful to Sue Embro for
her work with the manuscripts, and to the sponsoring organizations for financial
assistance.
Waterloo,
Canada
January 1979
Peter Hoffman Victor Snaith
CONTENTS A.
L-THEORY AND ALGEBRAIC K-THEORY
G. Carlsson and R.J. Milgram: The Structure of Odd L-Groups ----------------------------I. Hambleton and R.J. Milgram:
L~(Z(G))
a Finite 2-group -----
73
Whitehead Torsion for PL Fiber Homotopy Equivalences ------
90
The Surgery Group
for
G
H.J. Munkholm:
A.
Ranicki: Localization in Quadratic L-theory ------------------------ 102
R.W. Sharpe: K (Z[Z/S]) is Generated by Relations Among 2
