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

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      Author
      Yaraneri, E.
      Date
      2007
      Source Title
      Journal of Algebra
      Print ISSN
      0021-8693
      Electronic ISSN
      1090-266X
      Publisher
      Academic Press
      Volume
      311
      Issue
      1
      Pages
      365 - 379
      Language
      English
      Type
      Article
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      134
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      Abstract
      We 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.
      Keywords
      Dimension
      Fong's dimension formula
      Mackey functor
      Permalink
      http://hdl.handle.net/11693/23467
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.jalgebra.2006.12.012
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