The kernel of the Rost invariant, Serre's conjecture II and the Hasse principle for quasi-split groups \(^{3,6}D_4\), \(E_6\), \(E_7\).
type: Item
instance of: scholarly article
title: The kernel of the Rost invariant, Serre's conjecture II and the Hasse principle for quasi-split groups \(^{3,6}D_4\), \(E_6\), \(E_7\).
zbMATH Open document ID: 1036.20040
published in: Mathematische Annalen
publication date: 2003-09-16T00:00:00Z
review text: For the simple simply connected groups in the title defined over a perfect field of characteristic \(\neq 2,3\), it is proved: the kernel of the Rost invariant is trivial; if \(\text{cd\,}F\leq 2\) then Serre's conjecture II holds.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 20G10
Mathematics Subject Classification ID: 11E72
zbMATH DE Number: 1982572
zbMATH Keywords: Rost invariant
zbMATH Keywords: simply connected groups
zbMATH Keywords: cohomological dimension
zbMATH Keywords: perfect fields
Wikidata QID: Q122964752
author: V. Chernousov
MaRDI profile type: Publication
full work available at URL: s00208-003-0417-x
OpenAlex ID: W1988576667
DOI: 10.1007/S00208-003-0417-X
description: scientific article; zbMATH DE number 1982572