Die Struktur der Absoluten Galoisgruppe $$\mathfrak{p}$$ Zahlkörper

@article{Jannsen1982DieSD,
  title={Die Struktur der Absoluten Galoisgruppe
\$\$\mathfrak\{p\}\$\$
Zahlk{\"o}rper},
  author={Uwe Jannsen and Kay Wingberg},
  journal={Inventiones mathematicae},
  year={1982},
  volume={70},
  pages={71-98}
}
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References

SHOWING 1-10 OF 14 REFERENCES

THE GALOIS GROUP OF THE ALGEBRAIC CLOSURE OF A LOCAL FIELD

In this paper we describe the structure of the Galois group of the algebraic closure of finite extensions of the field of p-adic numbers for p ≠ 2.

STRUCTURE OF THE MULTIPLICATIVE GROUP OF A SIMPLY RAMIFIED EXTENSION OF A LOCAL FIELD OF ODD DEGREE

A description of the multiplicative group of a simply ramified extension of a local field of odd degree is given. Bibliography: 3 titles.