Soluble Groups of Small Wielandt Length#

Wetherell, Chris

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Soluble Groups of Small Wielandt Length#

Date

2004

Authors

Wetherell, Chris

Publisher

Marcel Dekker Inc.

Abstract

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.