Concavity of certain matrix trace and norm functions. II
نویسندگان
چکیده
منابع مشابه
Trace and Norm, Ii
where σ1(α), . . . , σd(α) are all the distinct values of σ(α) as σ runs over the Galois group. For each σ ∈ G, σ(α) = σi(α) for a unique i from 1 to d. Moreover, σ(α) = σi(α) if and only if σ ∈ σiH, where H = {τ ∈ G : τ(α) = α} = Gal(L/K(α)). Therefore as σ runs over G, the number σi(α) appears as σ(α) whenever σ is in the left coset σiH, so σi(α) occurs |H| times, and |H| = [L : K(α)] = [L : ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2016
ISSN: 0024-3795
DOI: 10.1016/j.laa.2015.12.032