Rost invariant

http://dbpedia.org/resource/Rost_invariant an entity of type: Abstraction100002137

In mathematics, the Rost invariant is a cohomological invariant of an absolutely simple simply connected algebraic group G over a field k, which associates an element of the Galois cohomology group H3(k, Q/Z(2)) to a principal homogeneous space for G. Here the coefficient group Q/Z(2) is the tensor product of the group of roots of unity of an algebraic closure of k with itself. Markus Rost first introduced the invariant for groups of type F4 and later extended it to more general groups in unpublished work that was summarized by Serre. rdf:langString
rdf:langString Rost invariant
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rdf:langString Markus Rost
rdf:langString et
rdf:langString Markus
rdf:langString Rost
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xsd:integer 1991
rdf:langString In mathematics, the Rost invariant is a cohomological invariant of an absolutely simple simply connected algebraic group G over a field k, which associates an element of the Galois cohomology group H3(k, Q/Z(2)) to a principal homogeneous space for G. Here the coefficient group Q/Z(2) is the tensor product of the group of roots of unity of an algebraic closure of k with itself. Markus Rost first introduced the invariant for groups of type F4 and later extended it to more general groups in unpublished work that was summarized by Serre. The Rost invariant is a generalization of the Arason invariant.
xsd:nonNegativeInteger 3833

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