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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On constructing fields corresponding to the $\tilde {A}_ n$’s of Mestre for odd $n$
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by John R. Swallow PDF
Proc. Amer. Math. Soc. 122 (1994), 85-89 Request permission

Abstract:

An isomorphism is given between the trace bilinear form of Mestre’s ${A_n}$ extensions over $\mathbb {Q}(t)$ and a certain quadratic form over $\mathbb {Q}$ with base field lifted to $\mathbb {Q}(t)$. This reduces the problem of constructing ${\tilde A_n}$ extensions from Mestre’s ${A_n}$’s to that of diagonalizing certain forms over $\mathbb {Q}$. The result expands a result of Schneps.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 85-89
  • MSC: Primary 12F12; Secondary 11E12, 11R32
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1204386-7
  • MathSciNet review: 1204386