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| | + | [[File:Griggs Thompson.jpg|thumb]] |
| | + | '''John Griggs Thompson''' (født 13. oktober 1932 i [[Kansas]], [[USA]]) er en matematiker kjent for sitt arbeid innenfor feltet endelige grupper. |
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| | + | Han ble tildelt [[Abelprisen]] i 2008. |
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| − | '''John Griggs Thompson''' (født [[13. oktober]] [[1932]] i [[Ottawa County (Kansas)|Ottawa]] [[Kansas]], [[USA]]) er en [[matematiker]] kjent for sitt arbeid innenfor feltet [[endelige gruppe]]r.
| + | [http://en.wikipedia.org/wiki/John_Griggs_Thompson Wikiartikkel] |
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| + | =='''Oppgaver'''== |
| − | ==Biography== | + | [[Oppgave 200-81]]<br> |
| − | He received his [[Bachelor of Arts|B.A.]] from [[Yale University]] in 1955 and his [[doctorate]] from the [[University of Chicago]] in 1959 under the supervision of [[Saunders Mac Lane]]. After spending some time on the Mathematics faculty at the University of Chicago, he moved in 1970 to the [[Walter William Rouse Ball| Rouse Ball]] Professorship of Mathematics at the [[University of Cambridge]], [[England]], and later moved to the Mathematics Department of the [[University of Florida]] as a Graduate Research Professor. He is currently a [[Professor Emeritus]] of [[Pure Mathematics]] at the University of Cambridge, and [[professor]] of [[mathematics]] at the University of Florida. He received the Abel Prize 2008 together with [[Jacques Tits]].
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| − | ==Work==
| + | {{DEFAULTSORT:Thompson, John Griggs}} |
| − | Thompson's doctoral thesis already introduced powerful and innovative techniques, and included the solution of a problem in [[Finite group theory]] which had stood for around sixty years, the [[nilpotent group|nilpotency]] of [[Frobenius group|Frobenius kernels]]. At the time, this achievement was noted in ''[[The New York Times]]''<ref>http://www.cecm.sfu.ca/organics/papers/lam/paper/html/NYTimes.html New York Times article, April 26, 1959</ref>, (though, unfortunately, his University affiliation
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| − | Thompson became a key figure in the progress toward the [[classification of finite simple groups]]. In 1963, he and [[Walter Feit]] proved that all [[Abelian group|nonabelian]] finite [[simple group]]s are of even [[Order (group theory)|order]] (the ''[[Feit-Thompson theorem|Odd Order Paper]]'', filling a whole issue of the ''[[Pacific Journal of Mathematics]]''). This work was recognised by the award of the 1965 [[Cole Prize]] in Algebra of the [[American Mathematical Society]]. His monumental ''N''-group paper classified all finite simple groups for which the [[Centralizer and normalizer|normalizer]] of every non-identity [[Solvable group|solvable]] [[subgroup]] is solvable. This included, as a by-product, the classification of all minimal finite simple groups (those for which every proper subgroup is solvable). This work had great influence on later developments in the classification of finite simple groups, and was quoted in the citation by [[Richard Brauer]] for the award of Thompson's Fields Medal in 1970 (Proceedings of the [[International Congress of Mathematicians]], [[Nice]], [[France]], 1970).
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| − | The [[Thompson group (finite)|Thompson group]] ''Th'' is one of the 26 sporadic finite simple groups. Thompson also made major contributions to the [[inverse Galois problem]]. He found a criterion for a finite group to be a [[Galois group]], that in particular implies that the [[Monster group|monster simple group]] is a Galois group.
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| − | ==Further recognition==
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| − | In 1971, Thompson was elected to the [[United States National Academy of Sciences]]. In 1982, he was awarded the Senior Berwick Prize of the [[London Mathematical Society]], and in 1988, he received the honorary degree of [[Doctor of Science]] from the [[University of Oxford]]. Thompson also received the [[Wolf Prize]] in 1992, and was awarded the United States [[National Medal of Science]] in 2000. He is a [[Fellow of the Royal Society]] ([[United Kingdom]]), and a recipient of its [[Sylvester Medal]].
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| − | ==See also==
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| − | *[[Feit–Thompson theorem]]
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| − | *[[Thompson subgroup]]
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| − | *[[McKay-Thompson series]]
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| − | ==Referanser==
| + | [[Category:Menn]] |
| − | reflist
| + | [[Category:USAnere]] |
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| − | == Priser (Utvalg) ==
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| − | *[[Vitenskapsåret 2008|2008]] – [[Abelprisen]]
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| − | *[[Vitenskapsåret 1985|1985]] – [[Sylvestermedaljen]]
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| − | *[[Vitenskapsåret 1970|1970]] – [[Fieldsmedaljen]]
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| − | ==Eksterne lenker==
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| − | <!--* * -->
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| − | * [http://www.math.ufl.edu/fac/facmr/Thompson.html Liste over matematiske artikler av John G. Thompson]
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| − | * [http://www.abelprisen.no/nedlastning/2008/biography_no_thompson.pdf Biografi fra Abelsenteret]
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| − | {{DEFAULTSORT:Thompson, John Griggs}}
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| | [[Category:Matematikere fra USA]] | | [[Category:Matematikere fra USA]] |
| | [[Category:Født 1932]] | | [[Category:Født 1932]] |
| − | [[Category:Automatisk hentet fra norsk wikipedia]] | + | [[Category:Levende]] |
| | + | [[Category:Abelprisen]] |
| | + | [[Category:Historiske Fjes 200]] |
