The cohomology of Chevalley groups of exceptional Lie type / [electronic resource] Samuel N. Kleinerman.

By: Kleinerman, Samuel N, 1949-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 268Publication details: Providence, R.I., USA : American Mathematical Society, c1982Description: 1 online resource (viii, 82 p.)ISBN: 9781470406752 (online)Subject(s): Chevalley groups | Lie groups | Homology theoryAdditional physical formats: cohomology of Chevalley groups of exceptional Lie type /DDC classification: 510 s | 512/.55 LOC classification: QA3 | .A57 no. 268 | QA171Online resources: Contents | Contents
Contents:
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 $\textrm �_4(\mathbb {F}_q)$ 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 $\textrm �_6(\mathbb {F}_q)$ 9. An application to homotopy theory
Item type: E-BOOKS
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Link to resource Available EBK12721

"September 1982, volume 39."

Originally presented as the author's Ph.D. thesis.

Bibliography: p. 82.

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 $\textrm �_4(\mathbb {F}_q)$ 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 $\textrm �_6(\mathbb {F}_q)$ 9. An application to homotopy theory

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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