caa a22 4500 386372144 CHVBK 20180307112001.0 cr unu---uuuuu 161130e198909 xx s 000 0 eng 10.1017/S0017089500007898 doi S0017089500007898 pii (NATIONALLICENCE)cambridge-10.1017/S0017089500007898 Casolo Carlo Dipartimento di Mathematica e Informatica, Università di Udine, Via Zanon, 6, I-33100 Udine, Italy Soluble Groups with Finite Wielandt length [Elektronische Daten] [Carlo Casolo] 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. Copyright © Glasgow Mathematical Journal Trust 1989 Glasgow Mathematical Journal Cambridge University Press 31/3(1989-09), 329-334 0017-0895 31:3<329 1989 31 GMJ https://doi.org/10.1017/S0017089500007898 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0017089500007898 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Casolo Carlo Dipartimento di Mathematica e Informatica, Università di Udine, Via Zanon, 6, I-33100 Udine, Italy NATIONALLICENCE 773 0- Glasgow Mathematical Journal Cambridge University Press 31/3(1989-09), 329-334 0017-0895 31:3<329 1989 31 GMJ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge