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On unramified Am-extensions of quadratic number fields

Published online by Cambridge University Press:  18 May 2009

J. Elstrodt ,
F. Grunewald  and
J. Mennicke
J. Elstrodt
Affiliation:
Münster (Westfalen)
F. Grunewald
Affiliation:
Bonn
J. Mennicke
Affiliation:
Bielefeld
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 27 , October 1985 , pp. 31 - 37
Copyright
Copyright © Glasgow Mathematical Journal Trust 1985

References

REFERENCES

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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3.Hecke, E., Vorlesungen über die Theorie der algebraischen Zahlen (Akademische Verlagsgesellschaft, 1954).Google Scholar
4.Lang, S., Algebraic Number Theory (Addison-Wesley, 1970).Google Scholar
5.Waerden, B. L. van der, Moderne Algebra (Springer 1950).Google Scholar