A New Construction of the Ree Groups of Type 2 G 2

We give a new elementary construction of Ree’s family of finite simple groups of type G2, which avoids the need for the machinery of Lie algebras and algebraic groups. We prove that the groups we construct are simple of order q(q + 1)(q− 1) and act doubly transitively on an explicit set of q + 1 points, where q = 3. Moreover, our construction is practical… CONTINUE READING