Witt vectors . Part 1
نویسندگان
چکیده
In this note, we will generalize most of the results in [4], replacing the Witt polynomials wn by the more general polynomials wF,n defined for any pseudo-monotonous map F : P × N → N (the meaning of ”pseudo-monotonous” will soon be explained below). Whenever possible, the proofs will be done by simply copypasting the corresponding proofs from [4] and doing the necessary changes which often will be trivial, though sometimes new thinking will be required. I will even try to keep the numbering of the results in this note consistent with the numbering of the results in [4], so that for instance Theorem i in this note will be the generalization of Theorem i in [4] for as many i as possible. This explains why there are gaps in the numbering: e. g., there is no numbered result between Theorem 17 and Lemma 19 in this note, because Lemma 18 of [4] was just an auxiliary result and needs not be generalized to the wF,n. First, let us introduce some notation:
منابع مشابه
Witt vectors . Part 1 Michiel
Witt#1: The Burnside Theorem [completed, not proofread] Theorem 1, the Burnside theorem ([1], 19.10). Let G be a finite group, and let X and Y be finite G-sets. Then, the following two assertions A and B are equivalent: Assertion A: We have X ∼ = Y , where ∼ = means isomorphism of G-sets.
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