03174nam 2200589 450 991048023850332120170822144320.01-4704-0551-2(CKB)3360000000465121(EBL)3114242(SSID)ssj0000888833(PQKBManifestationID)11487561(PQKBTitleCode)TC0000888833(PQKBWorkID)10881855(PQKB)10522746(MiAaPQ)EBC3114242(PPN)195418263(EXLCZ)99336000000046512120150416h20092009 uy 0engur|n|---|||||txtccrCohomological invariants exceptional groups and spin groups /Skip Garibaldi ; with an appendix by Detlev W. HoffmannProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (102 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 937"Volume 200, number 937 (second of 6 numbers)."0-8218-4404-0 Includes bibliographical references and index.""Contents""; ""List of Tables""; ""Preface""; ""Part I. Invariants, especially modulo an odd prime""; ""1. Definitions and notations""; ""2. Invariants of Î?[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""""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 â?? n â?? 12""; ""18. Invariants of Spin[sub(n)] for 7 â?? n â?? 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)]""""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""Memoirs of the American Mathematical Society ;Number 937.Galois cohomologyLinear algebraic groupsInvariantsElectronic books.Galois cohomology.Linear algebraic groups.Invariants.514/.23Garibaldi Skip1972-149814MiAaPQMiAaPQMiAaPQBOOK9910480238503321Cohomological invariants2269265UNINA