mathematical area of group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete groups defined by...

mathematics, the braid group on n strands (denoted B n {\displaystyle B_{n}} ), also known as the Artin braid group, is the group whose elements are equivalence...

He introduced Tits buildings, the Tits alternative, the Tits group, and the Tits metric. Tits was born in Uccle, Belgium to Léon Tits, a professor, and...

for Coxeter groups of infinite rank. Each Coxeter group is associated to another group called its Artin–Tits group or generalized braid group, which is...

Emil Artin, a mathematician. Ankeny–Artin–Chowla congruence Artin algebra Artin billiards Artin braid group Artin character Artin conductor Artin's conjecture...

structure on the Artin–Tits group. Artin–Tits groups are sometimes also known as generalized braid groups, because the Artin–Tits group B S n {\displaystyle...

mathematics, the Kneser–Tits problem, introduced by Tits (1964) based on a suggestion by Martin Kneser, asks whether the Whitehead group W(G,K) of a semisimple...

affine Weyl groups, the rank of M ( W n ) {\displaystyle M(W_{n})} stabilizes as n {\displaystyle n} goes to infinity. Artin–Tits group Chevalley–Shephard–Todd...

classical groups over finite and other fields by Jordan (1870). These groups were studied by L. E. Dickson and Jean Dieudonné. Emil Artin investigated...

idea of a group is one which pervades the whole of mathematics both pure and applied." Lang 2005, p. 360, App. 2. Cook 2009, p. 24. Artin 2018, p. 40...