Degree 3 unramified cohomology of classifying spaces for exceptional groups

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Let G be a reductive group defined over an algebraically closed field of characteristic 0 such that the Dynkin diagram of G is the disjoint union of diagrams of types G(2), F-4, E-6, E-7, E-8. We show that the degree 3 unramified cohomology of the classifying space of G is trivial. In particular, combined with articles by Merkurjev [11] and the author [1], this completes the computations of degree 3 unramified cohomology and reductive invariants for all split semisimple groups of a homogeneous Dynkin type. (C) 2021 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER
Issue Date
2021-10
Language
English
Article Type
Article
Citation

JOURNAL OF PURE AND APPLIED ALGEBRA, v.225, no.10

ISSN
0022-4049
DOI
10.1016/j.jpaa.2021.106718
URI
http://hdl.handle.net/10203/285403
Appears in Collection
MA-Journal Papers(저널논문)
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