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arXiv · 1403.4348

Special reductive groups over an arbitrary field

Mathieu Huruguen
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Abstract

A linear algebraic group G defined over a field k is called special if every G-torsor over every field extension of k is trivial. In 1958 Grothendieck classified special groups in the case where the base field is algebraically closed. In this paper we describe the derived subgroup and the coradical of a special reductive group over an arbitrary field k. We also classify special semisimple groups, special reductive groups of inner type and special quasisplit reductive groups over an arbitrary field k.

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BibTeXRIS

Mathieu Huruguen. 2014-03-18. Special reductive groups over an arbitrary field. https://arxiv.org/abs/1403.4348

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