Algebraic Topology Homotopy and Group Cohomology Proceedings of the

The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. From the Contents: A. Adem: On the geometry and cohomology of finite simple groups.- D.J. Bens

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1509

J. Aguade

M. Castellet

F. R. Cohen (Eds.)

Algebraic Topology Homotopy and Group Cohomology Proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guixols, Spain, June 6-12, 1990

Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona Budapest

Editors Jaume Aguade Manuel Castellet Departament de Matematiques Unversitat Autonoma de Barcelona E-08193 Bellaterra, Spain Frederick Ronald Cohen Department of Mathematics University of Rochester Rochester, New York 14620, USA

Mathematics Subject Classification (1991): 55-06, 55Pxx, 20J06, 20J05

ISBN 3-540-55195-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-55195-6 Springer-Verlag New York Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1992 Printed in Germany Typesetting: Camera ready by author Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 46/3140-543210 - Printed on acid-free paper

INTRODUCTION

This volume represents the Proceedings of the Third Barcelona Conference on Algebraic Topology. The conference was held June 6-12, 1990, in Sant Feliu de Cuixols and was organized by the Centre de Recerca Matematica, a research institute sponsored by the Institut d'Estudis Catalans and located at the Universitat Autonorna de Barcelona. Financial support from the DGICYT and the CIRIT of the Generalitat de Catalunya made this Conference possible by bringing together mathematicians from around the world. The scientific program consisted of 21 plenary lectures which are listed below. The Proceedings contains papers which were, for the most part, submitted by conference participants. All papers were refereed. We would like to take this opportunity to thank the participants for their contributions. The editors would also like to thank the referees for conscientious and thorough efforts. We thank Carles Broto, Carles Casacuberta, and Laia Saumell for their generous help with the organization of the conference. We warmly thank the secretaries Consol Roca and Sylvia Hoemke. Most of the papers included in these Proceedings are prints obtained from 'lEX files submitted by the authors, suitably modified. to uniformize headings and margins. We thank Maria Julia for her fine job in typing some of the manuscripts and for her help in solving 'lEX problems. Finally, we would like to thank the mayor of Sant Feliu de Guixols for his help in stimulating an excellent mathematical environment.

Jaume Aguade Manuel Cast