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Pseudo-reductive groups /

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Bibliographic Details
Main Authors: Conrad, Brian, 1970- (Author), Gabber, Ofer, 1958- (Author), Prasad, Gopal (Author)
Corporate Author: ProQuest (Firm)
Format: eBook
Language:English
Published: Cambridge ; New York : Cambridge University Press, [2015]
Edition:Second edition.
Series:New mathematical monographs ; 26.
Subjects:
Linear algebraic groups.
Group theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface to the second edition
  • Introduction
  • Terminology, conventions, and notation
  • Part I. Constructions, examples, and structure theory. 1. Overview of pseudo-reductivity ; 2. Root groups and root systems ; 3. Basic structure theory
  • Part II. Standard presentations and their applications. 4. Variation of (G', k'/k, T', C) ; 5. Ubiquity of the standard construction ; 6. Classification results
  • Part III. General classification and applications. 7. The exotic constructions ; 8. Preparations for classification in characteristics 2 and 3 ; 9. Absolutely pseudo-simple groups in characteristic 2 ; 10. General case ; 11. Applications
  • Part IV. Appendices. A. Background in linear algebraic groups ; B. Tits' work on unipotent groups in nonzero characteristic ; C. Rational conjugacy in connected groups
  • References
  • Index.