The Loewy length of a tensor product of modules of a dihedral two-group
- Autores: Erik Darpö, Christopher C. Gill
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 4, 2014, págs. 760-776
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.08.015
- Enlaces
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Resumen
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.
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