Coinvariants and the regular representation of a cyclic P-group

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Coinvariants and the regular representation of a cyclic P-group

We consider an indecomposable representation of a cyclic p-group Z pr over a field of characteristic p. We show that the top degree of the corresponding ring of coinvariants is less than (r 2+3r)pr 2 . This bound also applies to the degrees of the generators for the invariant ring of the regular representation.

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2012

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-012-1018-8