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, high-level 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 Ariki-Koike 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