A short proof of Timashev’s theorem on the real component group of a real reductive group

Mikhail Borovoi*, Ofer Gabber

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev’s theorem computing the real component group πG(R) of a connected reductive R-group G in terms of a maximal torus of G containing a maximal split torus.

Original languageEnglish
Pages (from-to)9-13
Number of pages5
JournalArchiv der Mathematik
Volume120
Issue number1
DOIs
StatePublished - Jan 2023

Funding

FundersFunder number
Université Paris-Saclay

    Keywords

    • Maximal split torus
    • Real component group
    • Real reductive group

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