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Serre's Conjecture II (Algebra)
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -High Quality Content by WIKIPEDIA articles! In mathematics, Jean-Pierre Serre conjectured the following result regarding the Galois cohomology of a simply connected semisimple algebraic group. Namely, he conjectured that if G is such a group over a field F of cohomological dimension at most 2, then the Galois cohomology set H1(F, G) is zero. The conjecture holds in the case where F is a local field (such as p-adic field) or a global field with no real embeddings (such as Q( 1)). This is a special case of the Kneser Harder Chernousov Hasse Principle for algebraic groups over global fields. (Note that such fields do indeed have cohomological dimension at most 2.) The conjecture also holds when F is finitely generated over the complex numbers and has transcendence degree at most 2. 88 pp. Englisch. N° de réf. du vendeur 9786131160547
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Serre's Conjecture II (Algebra) : Jean-Pierre Serre, Galois Cohomology, Simply Connected Space
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, Jean-Pierre Serre conjectured the following result regarding the Galois cohomology of a simply connected semisimple algebraic group. Namely, he conjectured that if G is such a group over a field F of cohomological dimension at most 2, then the Galois cohomology set H1(F, G) is zero. The conjecture holds in the case where F is a local field (such as p-adic field) or a global field with no real embeddings (such as Q( 1)). This is a special case of the Kneser Harder Chernousov Hasse Principle for algebraic groups over global fields. (Note that such fields do indeed have cohomological dimension at most 2.) The conjecture also holds when F is finitely generated over the complex numbers and has transcendence degree at most 2. N° de réf. du vendeur 9786131160547
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Serre's Conjecture II (Algebra) | Jean-Pierre Serre, Galois Cohomology, Simply Connected Space
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Taschenbuch. Etat : Neu. Serre's Conjecture II (Algebra) | Jean-Pierre Serre, Galois Cohomology, Simply Connected Space | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131160547 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 113278804
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Serre's Conjecture II (Algebra)
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsJean-Pierre Serre conjectured the following result regarding the Galoiscohomology of a simply connected semisimple algebraic group. Namely, heconjectured that if G is such a group over a field F of cohomologicaldimension at most 2, then the Galois cohomology set H1(F, G) is zero.The conjecture holds in the case where F is a local field (such asp-adic field) or a global field with no real embeddings (such asQ(¿¿1)). This is a special case of the Kneser-Harder-Chernousov HassePrinciple for algebraic groups over global fields. (Note that suchfields do indeed have cohomological dimension at most 2.) The conjecturealso holds when F is finitely generated over the complex numbers and hastranscendence degree at most 2.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 88 pp. Englisch. N° de réf. du vendeur 9786131160547
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