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Class numbers of quadratic forms over real quadratic fields
Published online by Cambridge University Press: 22 January 2016
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Let k be an algebraic number field, let K be a Galois extension of k of finite degree, and let OK, Ok be the maximal orders of K, k, respectively. We consider the conjugate operation: for a given quadratic lattice M over OK equipped with a bilinear form B and for an automorphism σ ∈ G(K/k), we define a new quadratic lattice Mσ over OK. Here Mσ has the same underlying abelian group as M, but a new OK-action ; the new bilinear form Bσ on Mσ is defined by
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1977
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