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The cohomology of Chevalley groups of exceptional Lie type

About this Title

Samuel N. Kleinerman

Publication: Memoirs of the American Mathematical Society
Publication Year: 1982; Volume 39, Number 268
ISBNs: 978-0-8218-2268-5 (print); 978-1-4704-0675-2 (online)
DOI: https://doi.org/10.1090/memo/0268
MathSciNet review: 668808
MSC: Primary 20G40; Secondary 55R35, 55R40, 57T25

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Table of Contents

Chapters

  • 1. Main results
  • 2. The construction of $\textrm {BG}(\mathbb {F}_q)$ from $\textrm {BG}$
  • 3. The 2nd quadrant Eilenberg-Moore spectral sequence
  • 4. The cohomology of $\textrm {BG}(\mathbb {F}_q)$ away from the torsion of $G$
  • 5. The $l$-primary cohomology of $\textrm {BG}(\mathbb {F}_q)$ away from the torsion of $G$
  • 6. The $\mathbb {Z}/2$-cohomology of $\textrm {BG}_2(\mathbb {F}_q)$ and $\textrm {BF}_4(\mathbb {F}_q)$ and the 2-primary cohomology of $\textrm {BG}_2(\mathbb {F}_q)$
  • 7. The $\mathbb {Z}/2$-cohomology of $\textrm {BD}_5(\mathbb {F}_q)$
  • 8. The $\mathbb {Z}/2$-cohomology of $\textrm {BE}_6(\mathbb {F}_q)$
  • 9. An application to homotopy theory