Tits group
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The Tits group 2F4(2)' is a finite simple group of order 17971200 named for the Belgian mathematician Jacques Tits. It is the derived subgroup of the twisted Chevalley group2F4(2). Strictly speaking, the Tits group itself is not a group of Lie type, and in fact it has sometimes been considered to be a sporadic group.
The Tits group can be defined in terms of generators and relations by <math>a^2 = b^3 = (ab)^{13} = [a, b]^5 = [a, bab]^4 = (ababababab^{-1})^6 = 1<math>, where <math>[a,b]<math> is the commutator. It has an outer automorphism obtained by sending b to b2.
External links
- ATLAS of Group Representations - The Tits Group (http://web.mat.bham.ac.uk/atlas/v2.0/exc/TF42/)