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Modules of constant Jordan type with small non-projective part

机译:Modules of constant Jordan type with small non-projective part

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摘要

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We prove that if M is a kE-module of stable constant Jordan type a_1.a_t with Σ_j a_j ≤ min(r - 1, p - 2) then a_1 =. = a_t = 1. The proof uses the theory of Chern classes of vector bundles on projective space.

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