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Soluble Groups with Finite Wielandt length

Published online by Cambridge University Press:  18 May 2009

Carlo Casolo
Carlo Casolo
Affiliation:
Dipartimento di Mathematica e Informatica, Università di Udine, Via Zanon, 6, I-33100 Udine, Italy
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 3 , September 1989 , pp. 329 - 334
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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