**Proceedings of Symposia in Pure Mathematics**

Volume: 63;
1998;
532 pp;
Hardcover

MSC: Primary 20; 55; 57;

Print ISBN: 978-0-8218-0658-6

Product Code: PSPUM/63

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

**Electronic ISBN: 978-0-8218-9367-8
Product Code: PSPUM/63.E**

List Price: $120.00

AMS Member Price: $96.00

MAA Member Price: $108.00

# Group Representations: Cohomology, Group Actions and Topology

Share this page *Edited by *
*Alejandro Adem; Jon Carlson; Stewart Priddy; Peter Webb*

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

## Group Representations: Cohomology, Group Actions and Topology

- Contents vii8 free
- Preface ix10 free
- Schedule of Expository Lectures xi12 free
- On the cohomology of coxeter groups and their finite parabolic subgroups II 116 free
- Linear source modules and trivial source modules 722
- Résolutions de foncteurs de Mackey 3146
- Homotopy uniqueness of BPU(3) 85100
- Lowering operators for GL(n) and quantum GL(n) 95110
- Homomorphisms in higher complexity quotient categories 115130
- On the homotopy theory of p-completed classifying spaces 157172
- H*V is of bounded type over A(p) 183198
- Classifying spaces of central group extensions 191206
- Sharp homology decompositions for classifying spaces of finite groups 197212
- On the geometry and cohomology of the simple groups G[sub(2)](q) and [sup(3)]D[sub(4)](q) 221236
- Transfer and Chern classes for extraspecial p-groups 245260
- The infinite order of the symplectic classes in the cohomology of the stable mapping class group 257272
- A variant of the proof of the Landweber Stong Conjecture 271286
- Unstable modules over the Steenrod Algebra and cohomology of groups 277292
- The category of Mackey functors for a compact lie group 301316
- Comparison of extensions of modules for algebraic groups and quantum groups 355370
- The defect of the completion of a Green functor 369384
- Simple modules of Ariki-Koike algebras 383398
- On the geometry and cohomology of the simple groups G[sub(2)](q) and [sup(3)]D[sub(4)](q): II 397412
- On the relation between simple groups and homotopy theory 419434
- Varieties for G[sub(r)]T-modules 441456
- On defect groups of the Mackey algebras for finite groups 453468
- Applications of stable classifying space theory to group cohomology 461476
- The spectra k and kO are not Thorn spectra 475490
- The code of a regular generalized quadrangle of even order 485500
- Quivers of blocks with normal defect group 497512
- Cohomology of a homogeneous space E[sub(6)]/T[sup(1)] . SU(6) 511526
- Problem Session, Seattle 1996 519534