On generations by conjugate elements in almost simple groups with socle ²F₄(q²)'

We prove that if L = F-2(4)(2(2n+1))' and x is a nonidentity automorphism of L, then G = < L,x > has four elements conjugate to x that generate G. This result is used to study the following conjecture about the pi-radical of a finite group. Let pi be a proper subset of the set of all primes and let r be the least prime not belonging to pi. Set m = r if r = 2 or 3 and m = r - 1 if r >= 5. Supposedly, an element x of a finite group G is contained in the pi-radical O-pi(G) if and only if every m conjugates of x generate a pi-subgroup. Based on the results of this and previous papers, the conjecture is confirmed for all finite groups whose every nonabelian composition factor is isomorphic to a sporadic, alternating, linear, unitary simple group, or to one of the groups of type B-2(2)(2(2n+1)), (2)G(2)(3(2n+1)), F-2(4)(2(2n+1))', G(2)(q), or D-3(4)(q).