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TitleThe Loewy length of a tensor product of modules of a dihedral two-group
Author(s) Erik Darpö, Christopher C. Gill
TypeArticle in Journal
AbstractAbstract While the finite-dimensional modules of the dihedral 2-groups over fields of characteristic 2 were classified over 30 years ago, very little is known about the tensor products of such modules. In this article, we compute the Loewy length of the tensor product of two modules of a dihedral 2-group in characteristic 2. As an immediate consequence, we determine when such a tensor product has a projective direct summand.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404913001679
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume218
Number4
Pages760 - 776
Year2014
Edition0
Translation No
Refereed No
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