Jacques Tits

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Jacques Tits
Artin-Tits group
Kneser–Tits conjecture
Field with one element
Generalized polygon
AwardsFrancois Deruyts Prize (1962)
Wolf Prize (1993)
Pour le Mérite (1995)
Cantor medal (1996)
Abel Prize (2008)
Scientific career
FieldsMathematics
InstitutionsFree University of Brussels
Vrije Universiteit Brussel
University of Bonn
Collège de France
French Academy of Sciences
Thesis Généralisation des groupes projectifs basés sur la notion de transitivité  (1950)
Doctoral advisorPaul Libois
Doctoral studentsFrancis Buekenhout
Jens Carsten Jantzen
Karl-Otto Stöhr

Jacques Tits (French:

Tits buildings, the Tits alternative, the Tits group, and the Tits metric
.

Life and career

Tits was born in

dual nationality at the time, he renounced his Belgian citizenship. He has been a member of the French Academy of Sciences since 1979.[1]

Tits was an "honorary" member of the

Coxeter number, Coxeter group, and Coxeter graph.[2]

Honors

Tits received the

John Griggs Thompson, "for their profound achievements in algebra and in particular for shaping modern group theory".[3] He was a member of several Academies of Sciences.[citation needed
]

He was a member of the Norwegian Academy of Science and Letters.[4] He became a foreign member of the Royal Netherlands Academy of Arts and Sciences in 1988.[5]

Death

Tits died on 5 December 2021, at the age of 91[1] in the 13th arrondissement, Paris.[6]

Contributions

He introduced the theory of buildings (sometimes known as

generalized n-gons, and in joint work with Richard Weiss he classified these when they admit a suitable group of symmetries (the so-called Moufang polygons). In collaboration with François Bruhat he developed the theory of affine buildings, and later he classified all irreducible buildings of affine type and rank at least four.[citation needed
]

Another of his well-known theorems is the "

finite index or it has a free subgroup of rank 2.[citation needed
]

The Tits group and the Kantor–Koecher–Tits construction are named after him. He introduced the Kneser–Tits conjecture.[citation needed]

Publications

  • Tits, Jacques (1964). "Algebraic and abstract simple groups".
    MR 0164968
    .
  • Tits, Jacques (1974). Buildings of spherical type and finite BN-pairs. Lecture Notes in Mathematics, Vol. 386. Vol. 386. Berlin, New York:
    MR 0470099.[7]
  • Tits, Jacques; Weiss, Richard M. (2002). Moufang polygons. Springer Monographs in Mathematics. Berlin, New York:
    MR 1938841
    .
  • J. Tits, Oeuvres - Collected Works, 4 vol., Europ. Math. Soc., 2013. J. Tits, Résumés des cours au Collège de France, S.M.F., Doc.Math. 12, 2013.

References

  1. ^
    Mathematical Society of France
     (in French). 5 December 2021. Retrieved 27 February 2022.
  2. ^ Siobhan Roberts, "Donald Coxeter: The man who saved geometry", Toronto Life, January 2003
  3. ^ "Thompson and Tits share the Abel Prize for 2008". The Niels Henrik Abel Memorial Fund. 17 May 2008. Archived from the original on 14 July 2008. Retrieved 20 May 2008. The Norwegian Academy of Science and Letters has decided to award the Abel Prize for 2008 to John Griggs Thompson, University of Florida and Jacques Tits, Collège de France. This was announced by the Academy's President, Ole Didrik Lærum, at a press conference in Oslo today. Thompson and Tits receives the Abel Prize "for their profound achievements in algebra and in particular for shaping modern group theory".
  4. ^ "Gruppe 1: Matematiske fag" (in Norwegian). Norwegian Academy of Science and Letters. Archived from the original on 10 November 2013. Retrieved 7 October 2010.
  5. ^ "J.L. Tits". Royal Netherlands Academy of Arts and Sciences. Archived from the original on 14 February 2016. Retrieved 14 February 2016.
  6. ^ "MatchID - Moteur de recherche des décès".
  7. doi:10.1090/s0002-9904-1975-13808-0
    .

External links
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