Generating Triples of Involutions of Groups of Lie Type of Rank 2 Over Finite Fields

摘要

For finite simple groups U-5(2(n)), n > 1, U-4(q), and S-4(q), where q is a power of a prime p > 2, q - 1 = 0(mod4), and q = 3, we explicitly specify generating triples of involutions two of which commute. As a corollary, it is inferred that for the given simple groups, the minimum number of generating conjugate involutions, whose product equals 1, is equal to 5.