Jacques Tits

[Shakir]

Belgisch-Frans wiskundige Jacques Tits overleden: https://www.eoswetenschap.eu/natuurwetenschappen/wiskundige-jacques-tits-bekend-van-groepentheorie-overleden
(Ja, dit is zijn echte naam).

https://en.wikipedia.org/wiki/Jacques_Tits


Jacques Tits (French: [tits]) (12 August 1930 – 5 December 2021) was a Belgian-born French mathematician who worked on group theory and incidence geometry. He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric.

Wiskundigen, ik blijf het grappige jongens vinden. Wat bedoelt men in godsnaam met de Tits alternative?

[stimpy3]

The proof of the original Tits alternative[1] is by looking at the Zariski closure of G in GL _n,k GLn(k). If it is solvable then the group is solvable. Otherwise one looks at the image of G in the Levi component. If it is noncompact then a ping-pong argument finishes the proof. If it is compact then either all eigenvalues of elements in the image of G are roots of unity and then the image is finite, or one can find an embedding of k in which one can apply the ping-pong strategy.


Eh, ja.

[WANDELAAR5]

Dank je voor de uitleg Stimpy, is dus eigenlijk best simpel!