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On the Non-Existence of Certain Galois Extensions

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Galois Theory and Modular Forms

Part of the book series: Developments in Mathematics ((DEVM,volume 11))

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Abstract

In this article, we give a survey of my results on the non-existence and finiteness of certain Galois extensions of the rational number field ℚ with prescribed ramification. The detail has been (will be) published in [8], [9], [10], [11], [12].

The author was supported by the JSPS Postdoctoral Fellowship for Foreign Researchers.

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References

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© 2004 Kluwer Academic Publishers

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Moon, H. (2004). On the Non-Existence of Certain Galois Extensions. In: Hashimoto, Ki., Miyake, K., Nakamura, H. (eds) Galois Theory and Modular Forms. Developments in Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0249-0_11

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  • DOI: https://doi.org/10.1007/978-1-4613-0249-0_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7960-7

  • Online ISBN: 978-1-4613-0249-0

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