Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Serres_conjecture_II_(algebra)> ?p ?o }
Showing triples 1 to 39 of
39
with 100 triples per page.
- Serres_conjecture_II_(algebra) abstract "Not to be confused with the Serre conjecture in number theory or the Quillen–Suslin theorem, which is sometimes also referred to as Serre's conjecture.In mathematics, Jean-Pierre Serre conjectured the following statement regarding the Galois cohomology of a simply connected semisimple algebraic group. Namely, he conjectured that if G is such a group over a perfect 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.The conjecture is also known to hold for certain groups G. For special linear groups, it is a consequence of the Merkurjev–Suslin theorem. Building on this result, the conjecture holds if G is a classical group. The conjecture also holds if G is one of certain kinds of exceptional group.".
- Serres_conjecture_II_(algebra) wikiPageExternalLink hyderabad.pdf.
- Serres_conjecture_II_(algebra) wikiPageID "25943365".
- Serres_conjecture_II_(algebra) wikiPageLength "3044".
- Serres_conjecture_II_(algebra) wikiPageOutDegree "16".
- Serres_conjecture_II_(algebra) wikiPageRevisionID "622499266".
- Serres_conjecture_II_(algebra) wikiPageWikiLink Category:Algebraic_number_theory.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Category:Field_theory.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Classical_group.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Exceptional_Lie_group.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Field_(mathematics).
- Serres_conjecture_II_(algebra) wikiPageWikiLink Galois_cohomology.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Global_field.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Jean-Pierre_Serre.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Local_field.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Mathematics.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Merkurjev–Suslin_theorem.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Norm_residue_isomorphism_theorem.
- Serres_conjecture_II_(algebra) wikiPageWikiLink P-adic_number.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Quillen–Suslin_theorem.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Semisimple_algebraic_group.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Serre_conjecture_(number_theory).
- Serres_conjecture_II_(algebra) wikiPageWikiLink Serres_modularity_conjecture.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Simple_Lie_group.
- Serres_conjecture_II_(algebra) wikiPageWikiLink Simply_connected_space.
- Serres_conjecture_II_(algebra) wikiPageWikiLinkText "Conjecture II".
- Serres_conjecture_II_(algebra) wikiPageWikiLinkText "Serre's "Conjecture II"".
- Serres_conjecture_II_(algebra) wikiPageWikiLinkText "Serre's conjecture II (algebra)".
- Serres_conjecture_II_(algebra) wikiPageWikiLinkText "Serre's conjecture II".
- Serres_conjecture_II_(algebra) hasPhotoCollection Serres_conjecture_II_(algebra).
- Serres_conjecture_II_(algebra) subject Category:Algebraic_number_theory.
- Serres_conjecture_II_(algebra) subject Category:Field_theory.
- Serres_conjecture_II_(algebra) comment "Not to be confused with the Serre conjecture in number theory or the Quillen–Suslin theorem, which is sometimes also referred to as Serre's conjecture.In mathematics, Jean-Pierre Serre conjectured the following statement regarding the Galois cohomology of a simply connected semisimple algebraic group.".
- Serres_conjecture_II_(algebra) label "Serre's conjecture II (algebra)".
- Serres_conjecture_II_(algebra) sameAs m.0b6jbh9.
- Serres_conjecture_II_(algebra) sameAs Q17103221.
- Serres_conjecture_II_(algebra) sameAs Q17103221.
- Serres_conjecture_II_(algebra) wasDerivedFrom Serres_conjecture_II_(algebra)oldid=622499266.
- Serres_conjecture_II_(algebra) isPrimaryTopicOf Serres_conjecture_II_(algebra).