A Swan length theorem and a Fong dimension theorem for Mackey algebras

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dc.citation.epage379en_US
dc.citation.issueNumber1en_US
dc.citation.spage365en_US
dc.citation.volumeNumber311en_US
dc.contributor.authorYaraneri, E.en_US
dc.date.accessioned2016-02-08T10:14:22Z
dc.date.available2016-02-08T10:14:22Z
dc.date.issued2007en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe first present some results about Mackey algebras of p-groups over fields of characteristic p, including their primitive idempotents and decompositions of their simple and principal indecomposable modules under restriction. We then apply these results together with a Green's indecomposability theorem for Mackey algebras to obtain Mackey algebra versions of some classical results of group algebras which are mostly related to restriction, induction and dimensions of modules. Our results about dimensions include Mackey algebra analogues of Dickson's theorem, Swan's theorem and Fong's dimension formula. © 2006 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.jalgebra.2006.12.012en_US
dc.identifier.eissn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/11693/23467
dc.language.isoEnglishen_US
dc.publisherAcademic Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.jalgebra.2006.12.012en_US
dc.source.titleJournal of Algebraen_US
dc.subjectDimensionen_US
dc.subjectFong's dimension formulaen_US
dc.subjectMackey functoren_US
dc.titleA Swan length theorem and a Fong dimension theorem for Mackey algebrasen_US
dc.typeArticleen_US
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