r/mathmemes u/Matonphare⚫ 16h What kind of math do you like? I like group theory. Set Theory Tits group Article Talk From Wikipedia, the free encyclopedia In group theory, the Tits group 2F4(2)', named for Jacques Tits (French: [tits]), is a finite simple group of order 211.33.52 13 17,971,200. e XA 5 languages Read View source View history Tools ✓ This is the only simple group that is a derivative of a group of Lie type that is not strictly a group of Lie type in any series due to exceptional isomorphism. It is sometimes considered a 27th sporadic group. History and properties The Ree groups 2F4(22n+1) were constructed by Ree (1961), who showed that they are simple if n≥ 1. The first member 2F4(2) of this series is not simple. It was studied by Jacques Tits (1964) who showed that it is almost simple, its derived subgroup 2F4(2)' of index 2 being a new simple group, now called the Tits group. The group 2F4(2) is a group of Lie type and has a BN pair, but the Tits group itself does not have a BN pair. The Tits group is member of the infinite family 2F4(22n+1y of commutator groups of the Ree groups, Algebraic structure →→ Group theory Group theory 目 Basic notions [show] Finite groups [hide] Cyclic group Z. Symmetric group Sn Alternating group An Dihedral group Dr. Quaternion group Q Cauchy's theorem - Lagrange's theorem Sylow theorems Hall's theorem p-group Elementary abelian group Frobenius group Schur multiplier Classification of finite simple aroune 187 ☐ 15 24