Depth and detection in modular invariant theory

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We study the transfer homomorphism in modular invariant theory paying particular attention to the image of the transfer which is a proper non-zero ideal in the ring of invariants. We prove that, for a p-group over Fp whose ring of invariants is a polynomial algebra, the image of the transfer is a principal ideal. We compute the image of the transfer for SLn(Fq) and GLn(Fq) showing that both ide...

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2009

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2009.04.036