Soluble Groups of Small Wielandt Length#
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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.author | Wetherell, Chris | |
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dc.date.accessioned | 2015-12-13T23:09:32Z | |
dc.identifier.issn | 0092-7872 | |
dc.identifier.uri | http://hdl.handle.net/1885/87041 | |
dc.description.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. | |
dc.publisher | Marcel Dekker Inc. | |
dc.source | Communications in Algebra | |
dc.subject | Keywords: Finite soluble groups; Subnormal subgroups; Wielandt subgroup | |
dc.title | Soluble Groups of Small Wielandt Length# | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 32 | |
dc.date.issued | 2004 | |
local.identifier.absfor | 010105 - Group Theory and Generalisations | |
local.identifier.ariespublication | MigratedxPub16160 | |
local.type.status | Published Version | |
local.contributor.affiliation | Wetherell, Chris, College of Physical and Mathematical Sciences, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 4 | |
local.bibliographicCitation.startpage | 1471 | |
local.bibliographicCitation.lastpage | 1486 | |
local.identifier.doi | 10.1081/AGB-120028792 | |
dc.date.updated | 2015-12-12T08:19:38Z | |
local.identifier.scopusID | 2-s2.0-22744440657 | |
Collections | ANU Research Publications |
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