Geodesic
Soluble Groups with Finite Wielandt length
Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 329-334

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The Wielandt subgroup ω(G) of a group G is defined to be the intersection of all normalizers of subnormal subgroups of G; the terms of the Wielandt series of G are defined, inductively, by putting ω0(G) = 1 and (ωn+1(G)/ωn(G) = ω(G/ωn(G)). If, for some integer n, ωn(G) = G, then G is said to have finite Wielandt length; the Wielandt length of G being the minimal n such that ωn(G) = G. 
Casolo, Carlo. Soluble Groups with Finite Wielandt length. Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 329-334. doi: 10.1017/S0017089500007898
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