Proceedings of Symposia in Pure Mathematics 1998; 532 pp; hardcover Volume: 63 ISBN10: 0821806580 ISBN13: 9780821806586 List Price: US$120 Member Price: US$96 Order Code: PSPUM/63
 This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value. Features:  state of the art contributions from this active, interdisciplinary branch of mathematical research
 excellent, highlevel survey papers by experts in the field
 a unique combination of topics in algebra and topology
 a compilation of open problems
Readership Graduate students, research mathematicians and physicists interested in group theory and generalizations. Table of Contents  T. Akita  On the cohomology of Coxeter groups and their finite parabolic subgroups. II
 R. Boltje  Linear source modules and trivial source modules
 S. Bouc  Résolutions de foncteurs de Mackey
 C. Broto and A. Viruel  Homotopy uniqueness of \(BPU(3)\)
 J. Brundan  Lowering operators for \(GL(n)\) and quantum \(GL(n)\)
 J. F. Carlson and W. W. Wheeler  Homomorphisms in higher complexity quotient categories
 F. R. Cohen and R. Levi  On the homotopy theory of \(p\)completed classifying spaces
 M. D. Crossley  \(H^*V\) is of bounded type over \(\mathcal{A}(p)\)
 J. Dietz and T. Ratliff  Classifying spaces of central group extensions
 W. G. Dwyer  Sharp homology decompositions for classifying spaces of finite groups
 P. Fong and R. J. Milgram  On the geometry and cohomology of the simple groups \(G_2(q)\) and \(^3D_4(q)\)
 D. J. Green and P. A. Minh  Transfer and Chern classes for extraspecial \(p\)groups
 R. Grieder  The infinite order of the symplectic classes in the cohomology of the stable mapping class group
 H.W. Henn  A variant of the proof of the Landweber Stong conjecture
 H.W. Henn  Unstable modules over the Steenrod algebra and cohomology of groups
 L. G. Lewis, Jr.  The category of Mackey functors for a compact Lie group
 Z. Lin  Comparison of extensions of modules for algebraic groups and quantum groups
 F. Luca  The defect of the completion of a Green functor
 A. Mathas  Simple modules of ArikiKoike algebras
 R. J. Milgram  On the geometry and cohomology of the simple groups \(G_2(q)\) and \(^3D_4(q)\): II
 R. J. Milgram  On the relation between simple groups and homotopy theory
 D. K. Nakano  Varieties for \(G_rT\)modules
 F. Oda  On defect groups of the Mackey algebras for finite groups
 S. Priddy  Applications of stable classifying space theory to group cohomology
 Yu. B. Rudyak  The spectra \(k\) and \(kO\) are not Thom spectra
 N. S. N. Sastry and P. Sin  The code of a regular generalized quadrangle of even order
 M. Schaps, D. Shapira, and O. Shlomo  Quivers of blocks with normal defect group
 T. Watanabe  Cohomology of a homogeneous space \(E_6/T^1 \cdot SU(6)\)
 D. Benson  Problem session, Seattle 1996
