On a class of algebras


We introduce the notion of projective gruppal algebra that connects to every subgroup of order n of PGL (n, K) a n-dimensional algebra over K.In particular we classify the projective gruppal algebras 4-dimensional over a perfect field K studying the conjugacy classes of the groups Z<sub>2</sub> times Z<sub>2</sub> and Z<sub>4</sub> in PGL (4, K).

DOI Code: 10.1285/i15900932v16n2p267

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