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  • 1.
    Darpö, Erik
    et al.
    Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Nagoya University, Japan.
    Gill, Christopher C
    Charles University, Praha, Czech Republic.
    The Loewy length of a tensor product of modules of a dihedral two-group2014In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 218, no 4, p. 760-776Article in journal (Refereed)
    Abstract [en]

    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 tensorproducts 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.

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