Erik Darpö, Christopher C. Gill
Published 2012-02-24, updated 2012-03-18Version 2
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 two-group in characteristic 2. As an immediate consequence, we determine when such a tensor product has a projective direct summand.
On sheets of conjugacy classes in good characteristic
Inductive AM condition for the alternating groups in characteristic 2
On the exactness of ordinary parts over a local field of characteristic $p$
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