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Invariant Theory of Finite Groups

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<strong>Invariant</strong> <strong>Theory</strong> <strong>of</strong> <strong>Finite</strong> <strong>Groups</strong> – p. 25/2Constructive Aspectschar F appears in two places:surjectivity <strong>of</strong> transfer maptr : A → A G : a → ∑ g∈Gg(a)combinatorics to reduce degrees eg.:x 1 ...x m = (−1)mm!(needed for m = 1,...,|G|).∑I⊆{1,...,m}(−1) |I| ( ∑ i∈Ix i ) m

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