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| | [[File:Jacques Tits (2008).jpg|thumb|250px|Jacques Tits mai 2008]] | | [[File:Jacques Tits (2008).jpg|thumb|250px|Jacques Tits mai 2008]] |
| − | '''Jacques Tits''' (født [[12. august]] [[1930]] i [[Uccle]]) er en [[Frankrike|fransk]] (tidligere [[Belgia|belgisk]]) [[matematiker]]. Han har skrevet et stort antall forskingsartikler på flere områder, men i hovedsak innen [[gruppeteori]]. | + | '''Jacques Tits''' (født 12. august 1930 i Uccle) er en [[Frankrike|fransk]]-[[Belgia|belgisk]] matematiker. Han har skrevet et stort antall forskingsartikler på flere områder, men i hovedsak innen gruppeteori. |
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| − | Tits ble i 1995 utnevnt til den tyske ordenen [[Pour le Mérite|Pour le Mérite für Wissenschaften und Künste]]. Han ble tildelt [[Abelprisen]] i [[2008]].
| + | Han ble tildelt [[Abelprisen]] i 2008. |
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| − | <!-- uoversatt 2008-05-20
| + | [http://en.wikipedia.org/wiki/Jacques_Tits Wikiartikkel] |
| − | His academic career includes professorships at the [[Free University of Brussels]] (now split into the [[Université Libre de Bruxelles]] and the [[Vrije Universiteit Brussel]])(1962-1964), the [[University of Bonn]] (1964-1974) and the [[Collège de France]] in [[Paris]], until becoming [[emeritus]] in 2000. He has been a French citizen and a member of the [[French Academy of Sciences]] since 1974.
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| − | He introduced the theory of ''buildings'' (now known as ''[[Bruhat–Tits building]]s''), which are combinatorial structures on which groups act, in many cases of interest in [[algebraic group]] theory (including [[finite group]]s, and groups defined over the [[p-adic number]]s). The related theory of [[(B, N) pair]]s is a basic tool in the theory of [[groups of Lie type]]. He also classified all [[polar space]]s of rank at least three and introduced the [[generalized n-gons]]. Another of his well known theorems is the "[[Tits alternative]]": if ''G'' is a [[finitely generated group|finitely generated]] [[subgroup]] of a [[linear group]], then either ''G'' has a [[solvable subgroup]] of [[finite index]] or it has a [[free subgroup]] of rank 2.
| + | =='''Oppgaver'''== |
| − | | + | [[Oppgave 200-81]]<br> |
| − | Tits was an "honorary" member of the [[Nicolas Bourbaki]] group; as such, he helped popularize [[Harold Scott MacDonald Coxeter]]'s work, introducing terms such as [[Coxeter number]], [[Coxeter group]], and [[Coxeter graph]].<ref name="coxeter">
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| − | Erratum Siobhan John McKay ~~~~
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| − | Siobahn Roberts, [http://www.math.toronto.edu/mpugh/Coxeter.pdf "Donald Coxeter: The man who saved geometry"], ''[[Toronto Life]]'', January 2003</ref>
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| − | Tits received the [[Wolf Prize in Mathematics]] in 1993, the [[Cantor Medal]] from the [[Deutsche Mathematiker-Vereinigung]] (German Mathematical Society) in [[1996]], and the German distinction "[[Pour le Mérite]]". In 2008 he was awarded the [[Abel Prize]], along with [[John Griggs Thompson]], “for their profound achievements in algebra and in particular for shaping modern group theory.” He is a member of several Academies of Sciences.
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| − | the [[Tits group]] is named after him.
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| − | ==Referanser==
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| − | ==Eksterne lenker==
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| − | <!--* * -->
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| − | * [http://www.abelprisen.no/nedlastning/2008/biography_no_tits.pdf Biografi på Abelprisens nettsider] (pdf)
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| | {{DEFAULTSORT:Tits, Jacques}} | | {{DEFAULTSORT:Tits, Jacques}} |
| − | [[Category:Belgiske matematikere]] | + | [[Category:Menn]] |
| | + | [[Category:Franskmenn]] |
| | + | [[Category:Belgiske immigranter til Frankrike]] |
| | [[Category:Franske matematikere]] | | [[Category:Franske matematikere]] |
| | [[Category:Pour le Mérite]] | | [[Category:Pour le Mérite]] |
| − | [[Category:Personer fra Uccle]] | + | [[Category:Abelprisen]] |
| | [[Category:Født 1930]] | | [[Category:Født 1930]] |
| − | [[Category:Automatisk hentet fra norsk wikipedia]] | + | [[Category:Levende]] |
| | [[Category:Historiske Fjes 200]] | | [[Category:Historiske Fjes 200]] |
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