A characterization of groups of type $F_4$ arising from the first Tits construction

Vladimir Chernousov; Alexandre Lourdeaux; Arturo Pianzola

A characterization of groups of type $F_4$ arising from the first Tits construction

Group Theory 2023-06-27 v2 Algebraic Geometry Rings and Algebras

Authors: Vladimir Chernousov , Alexandre Lourdeaux , Arturo Pianzola

Abstract

We show that algebraic groups of type $F_4$ (or equivalently Albert algebras) arising from the first Tits construction are determined uniquely by their $g_3$ invariant.

Keywords

algebraic groups of type f4 albert algebras first tits construction g3 invariant characterization

Cite

@article{arxiv.2209.07447,
  title  = {A characterization of groups of type $F_4$ arising from the first Tits construction},
  author = {Vladimir Chernousov and Alexandre Lourdeaux and Arturo Pianzola},
  journal= {arXiv preprint arXiv:2209.07447},
  year   = {2023}
}

Comments

Theorem 11.1 is false : the kernel is not trivial as stated

A characterization of groups of type $F_4$ arising from the first Tits construction

Abstract

Keywords

Cite

Comments

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