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dc.contributor.authorKeller, Thomas Michael
dc.contributor.authorRagan, Dustin
dc.contributor.authorTims, Geoffrey T.
dc.date.accessioned2005-05-11T14:14:42Z
dc.date.available2005-05-11T14:14:42Z
dc.date.issued2004-07-15
dc.identifier.citationJOURNAL OF ALGEBRA, July 2004. 277 (2): 675-688.en
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/2092/241
dc.descriptionGeoffrey T. Tims is a 2003 graduate of the Department of Mathematics and Computer Science, Drake University.en
dc.description.abstractA longstanding problem in the representation theory of finite solvable groups, sometimes called the Taketa problem, is to find strong bounds for the derived length dl(G) in terms of the number |cd(G)| of irreducible character degrees of the group G. For p-groups an old result of Taketa implies that dl(G)|cd(G)|, and while it is conjectured that the true bound is much smaller (in fact, logarithmic) for large dl(G), it turns out to be extremely difficult to improve on Taketa's bound at all. Here, therefore, we suggest to first study the problem for a restricted class of p-groups, namely normally monomial p-groups of maximal class. We exhibit some structural features of these groups and show that if G is such a group, then .en
dc.description.sponsorshipSupported by NSF REU grant #00977592en
dc.format.extent181764 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.publisherElsevier Scienceen
dc.subjectLie algebraen
dc.subjectTaketa bounden
dc.subjectP-groupsen
dc.subjectFinite monomial groupsen
dc.subjectAlgebraen
dc.title"On the Taketa bound for normally monomial p-groups of maximal class"en
dc.typeArticleen


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