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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.

dc.contributor.authorWetherell, Chris
dc.date.accessioned2015-12-13T23:09:32Z
dc.identifier.issn0092-7872
dc.identifier.urihttp://hdl.handle.net/1885/87041
dc.description.abstractIn 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.
dc.publisherMarcel Dekker Inc.
dc.sourceCommunications in Algebra
dc.subjectKeywords: Finite soluble groups; Subnormal subgroups; Wielandt subgroup
dc.titleSoluble Groups of Small Wielandt Length#
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume32
dc.date.issued2004
local.identifier.absfor010105 - Group Theory and Generalisations
local.identifier.ariespublicationMigratedxPub16160
local.type.statusPublished Version
local.contributor.affiliationWetherell, Chris, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue4
local.bibliographicCitation.startpage1471
local.bibliographicCitation.lastpage1486
local.identifier.doi10.1081/AGB-120028792
dc.date.updated2015-12-12T08:19:38Z
local.identifier.scopusID2-s2.0-22744440657
CollectionsANU Research Publications

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