Minimal permutation representation of Thompson's simple group
Thompson's finite sporadic group \(F_ 3\) has a subgroup H of minimal possible index 143,127,000. This group H is isomorphic to \({}^ 3D_ 4(2).3\) (the split extension). The permutation representation of \(F_ 3\) on cosets \(F_ 3/H\) has rank 11. The purpose of this paper is to obtain subdegrees and stabilizers of two points in this permutation representation.
Thompson's finite sporadic group \(F_ 3\)
scientific article; zbMATH DE number 4127481