On extensions of algebraic groups

  • Mathieu Florence

    Sorbonne Université, Paris, France
  • Giancarlo Lucchini Arteche

    Universidad de Chile, Ñuñoa, Santiago, Chile
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We extend to the context of algebraic groups a classical result on extensions of abstract groups relating the set of isomorphism classes of extensions of by with that of extensions of by the center of . The proof should be easily generalizable to other contexts. We also study the subset of classes of split extensions and give a quick application by proving a finiteness result on these sets over a finite field.

Cite this article

Mathieu Florence, Giancarlo Lucchini Arteche, On extensions of algebraic groups. Enseign. Math. 65 (2019), no. 3/4, pp. 441–455

DOI 10.4171/LEM/65-3/4-5