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Hardcover ISBN:  9780821806586 
Product Code:  PSPUM/63 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893678 
Product Code:  PSPUM/63.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821806586 
eBook ISBN:  9780821893678 
Product Code:  PSPUM/63.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 63; 1998; 532 ppMSC: Primary 20; 55; 57
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
ReadershipGraduate students, research mathematicians and physicists interested in group theory and generalizations.

Table of Contents

Articles

Toshiyuki Akita — On the cohomology of Coxeter groups and their finite parabolic subgroups II [ MR 1603123 ]

Robert Boltje — Linear source modules and trivial source modules [ MR 1603127 ]

S. Bouc — Résolutions de foncteurs de Mackey [ MR 1603131 ]

Carlos Broto and Antonio Viruel — Homotopy uniqueness of $B\mathrm {PU}(3)$ [ MR 1603135 ]

Jonathan Brundan — Lowering operators for $\mathrm {GL}(n)$ and quantum $\mathrm {GL}(n)$ [ MR 1603139 ]

Jon F. Carlson and Wayne W. Wheeler — Homomorphisms in higher complexity quotient categories [ MR 1603143 ]

Frederick R. Cohen and Ran Levi — On the homotopy theory of $p$completed classifying spaces [ MR 1603147 ]

M. D. Crossley — $H^*V$ is of bounded type over $\mathcal {A}(p)$ [ MR 1603151 ]

Jill Dietz and Tommy Ratliff — Classifying spaces of central group extensions [ MR 1603155 ]

W. G. Dwyer — Sharp homology decompositions for classifying spaces of finite groups [ MR 1603159 ]

Paul Fong and R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$ [ MR 1603163 ]

David John Green and Pham Anh Minh — Transfer and Chern classes for extraspecial $p$groups [ MR 1603167 ]

Ralph Grieder — The infinite order of the symplectic classes in the cohomology of the stable mapping class group [ MR 1603171 ]

HansWerner Henn — A variant of the proof of the Landweber Stong conjecture [ MR 1603175 ]

HansWerner Henn — Unstable modules over the Steenrod algebra and cohomology of groups [ MR 1603179 ]

L. Gaunce Lewis, Jr. — The category of Mackey functors for a compact Lie group [ MR 1603183 ]

Zongzhu Lin — Comparison of extensions of modules for algebraic groups and quantum groups [ MR 1603187 ]

Florian Luca — The defect of the completion of a Green functor [ MR 1603191 ]

Andrew Mathas — Simple modules of ArikiKoike algebras [ MR 1603195 ]

R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$. II [ MR 1603199 ]

R. James Milgram — On the relation between simple groups and homotopy theory [ MR 1603124 ]

Daniel K. Nakano — Varieties for $G_rT$modules [ MR 1603128 ]

Fumihito Oda — On defect groups of the Mackey algebras for finite groups [ MR 1603132 ]

Stewart Priddy — Applications of stable classifying space theory to group cohomology [ MR 1603136 ]

Yu. B. Rudyak — The spectra $k$ and $kO$ are not Thom spectra [ MR 1603140 ]

N. S. Narasimha Sastry and Peter Sin — The code of a regular generalized quadrangle of even order [ MR 1603144 ]

Mary Schaps, Dana Shapira and Orly Shlomo — Quivers of blocks with normal defect group [ MR 1603148 ]

Takashi Watanabe — Cohomology of a homogeneous space $E_6/T^1\cdot \mathrm {SU}(6)$ [ MR 1603152 ]


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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
Graduate students, research mathematicians and physicists interested in group theory and generalizations.

Articles

Toshiyuki Akita — On the cohomology of Coxeter groups and their finite parabolic subgroups II [ MR 1603123 ]

Robert Boltje — Linear source modules and trivial source modules [ MR 1603127 ]

S. Bouc — Résolutions de foncteurs de Mackey [ MR 1603131 ]

Carlos Broto and Antonio Viruel — Homotopy uniqueness of $B\mathrm {PU}(3)$ [ MR 1603135 ]

Jonathan Brundan — Lowering operators for $\mathrm {GL}(n)$ and quantum $\mathrm {GL}(n)$ [ MR 1603139 ]

Jon F. Carlson and Wayne W. Wheeler — Homomorphisms in higher complexity quotient categories [ MR 1603143 ]

Frederick R. Cohen and Ran Levi — On the homotopy theory of $p$completed classifying spaces [ MR 1603147 ]

M. D. Crossley — $H^*V$ is of bounded type over $\mathcal {A}(p)$ [ MR 1603151 ]

Jill Dietz and Tommy Ratliff — Classifying spaces of central group extensions [ MR 1603155 ]

W. G. Dwyer — Sharp homology decompositions for classifying spaces of finite groups [ MR 1603159 ]

Paul Fong and R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$ [ MR 1603163 ]

David John Green and Pham Anh Minh — Transfer and Chern classes for extraspecial $p$groups [ MR 1603167 ]

Ralph Grieder — The infinite order of the symplectic classes in the cohomology of the stable mapping class group [ MR 1603171 ]

HansWerner Henn — A variant of the proof of the Landweber Stong conjecture [ MR 1603175 ]

HansWerner Henn — Unstable modules over the Steenrod algebra and cohomology of groups [ MR 1603179 ]

L. Gaunce Lewis, Jr. — The category of Mackey functors for a compact Lie group [ MR 1603183 ]

Zongzhu Lin — Comparison of extensions of modules for algebraic groups and quantum groups [ MR 1603187 ]

Florian Luca — The defect of the completion of a Green functor [ MR 1603191 ]

Andrew Mathas — Simple modules of ArikiKoike algebras [ MR 1603195 ]

R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$. II [ MR 1603199 ]

R. James Milgram — On the relation between simple groups and homotopy theory [ MR 1603124 ]

Daniel K. Nakano — Varieties for $G_rT$modules [ MR 1603128 ]

Fumihito Oda — On defect groups of the Mackey algebras for finite groups [ MR 1603132 ]

Stewart Priddy — Applications of stable classifying space theory to group cohomology [ MR 1603136 ]

Yu. B. Rudyak — The spectra $k$ and $kO$ are not Thom spectra [ MR 1603140 ]

N. S. Narasimha Sastry and Peter Sin — The code of a regular generalized quadrangle of even order [ MR 1603144 ]

Mary Schaps, Dana Shapira and Orly Shlomo — Quivers of blocks with normal defect group [ MR 1603148 ]

Takashi Watanabe — Cohomology of a homogeneous space $E_6/T^1\cdot \mathrm {SU}(6)$ [ MR 1603152 ]