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Soluble Groups of Small Wielandt Length#

Wetherell, Chris

Description

In this paper we are interested in the relationship between the Wielandt series and strong Wielandt series of a finite soluble group. Some exact bounds on strong Wielandt length in terms of Wielandt length are obtained for groups with p-length 1 for all primes p. We also give two new results relating the Wielandt subgroup and strong Wielandt subgroup of an arbitrary finite soluble group.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/87041
Source: Communications in Algebra
DOI: 10.1081/AGB-120028792

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