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200 10$aCohomological invariants $eexceptional groups and spin groups /$fSkip Garibaldi ; with an appendix by Detlev W. Hoffmann
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2009.
210  4$d©2009
215   $a1 online resource (102 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 937
300   $a"Volume 200, number 937 (second of 6 numbers)."
311   $a0-8218-4404-0 
320   $aIncludes bibliographical references and index.
327   $a""Contents""; ""List of Tables""; ""Preface""; ""Part I. Invariants, especially modulo an odd prime""; ""1. Definitions and notations""; ""2. Invariants of I??[sub(n)]""; ""3. Quasi-Galois extensions and invariants of Z/pZ""; ""4. An example: the mod p Bockstein map""; ""5. Restricting invariants""; ""6. Mod p invariants of PGL[sub(p)]""; ""7. Extending invariants""; ""8. Mod 3 invariants of Albert algebras""; ""Part II. Surjectivities and invariants of E[sub(6)], E[sub(7)], and E[sub(8)]""; ""9. Surjectivities: internal Chevalley modules""; ""10. New invariants from homogeneous forms""
327   $a""11. Mod 3 invariants of simply connected E[sub(6)]""""12. Surjectivities: the highest root""; ""13. Mod 3 invariants of E[sub(7)]""; ""14. Construction of groups of type E[sub(8)]""; ""15. Mod 5 invariants of E[sub(8)]""; ""Part III. Spin groups""; ""16. Introduction to Part III""; ""17. Surjectivities: Spin[sub(n)] for 7 a??? n a??? 12""; ""18. Invariants of Spin[sub(n)] for 7 a??? n a??? 10""; ""19. Divided squares in the Grothendieck-Witt ring""; ""20. Invariants of Spin[sub(11)] and Spin[sub(12)]""; ""21. Surjectivities: Spin[sub(14)]""; ""22. Invariants of Spin[sub(14)]""
327   $a""23. Partial summary of results""""Appendices""; ""A. Examples of anisotropic groups of type E[sub(7)]""; ""B. A generalization of the Common Slot Theorem""; ""Bibliography""; ""Index""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 937.
606   $aGalois cohomology
606   $aLinear algebraic groups
606   $aInvariants
608   $aElectronic books.
615  0$aGalois cohomology.
615  0$aLinear algebraic groups.
615  0$aInvariants.
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