Abelian Galois cohomology of reductive groups

Research output: Book/ReportBookpeer-review

Abstract

For a reductive group G over a field K we introduce the abelian Galois cohomology group Hab1(K, G). We relate this abelian group to the usual first Galois cohomology group H1 (K, G). When K is a local field or a number field, we compute H1 (K, G) almost explicitly.

Original languageEnglish
PublisherAmerican Mathematical Society
Number of pages50
Volume132
ISBN (Electronic)978-1-4704-0215-0
ISBN (Print)0-8218-0650-5, 978-0-8218-0650-0
DOIs
StatePublished - 1998

Publication series

NameMemoirs of the American Mathematical Society
PublisherAmerican Mathematical Society
No.626
Volume132
ISSN (Print)0065-9266

Keywords

  • Abelian Galois cohomology
  • Algebraic fundamental group
  • Galios cohomology
  • Reductive groups

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