Geodesic
On unramified Am-extensions of quadratic number fields
Glasgow mathematical journal, Tome 26 (1985), pp. 31-37

Voir la notice de l'article provenant de la source Cambridge University Press

Number fields such as described in the title play a rôle in the study of Artin L-functions and automorphic forms for the groups SL2 over rings of integers in quadratic extensions of Q. They are also of some interest on their own. We have not found many examples in the literature. Lang [4] mentions an unramified A5-extension of a real quadratic number field which is due to E. Artin. 
Elstrodt, J.; Grunewald, F.; Mennicke, J. On unramified Am-extensions of quadratic number fields. Glasgow mathematical journal, Tome 26 (1985), pp. 31-37. doi: 10.1017/S0017089500006054
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[1] 1.Cayley, A., On a new auxiliary equation in the theory of equations of the fifth order, Philos. Trans. Roy. Soc. London, CLI, (1861), 263–276. Google Scholar

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[4] 4.Lang, S., Algebraic Number Theory (Addison-Wesley, 1970). Google Scholar

[5] 5.Waerden, B. L. van der, Moderne Algebra (Springer 1950). Google Scholar

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