The Nonexistence of Certain Galois Extensions Unramified Outside 5-Reference-Cited by-同舟云学术

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The Nonexistence of Certain Galois Extensions Unramified Outside 5

Published:1999-03 Issue:1 Volume:75 Page:47-52
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Brueggeman Sharon

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference12 articles.

1. Linear Groups;Dickson,1958

2. Solvability of groups of odd order;Feit;Pacific J. Math.,1963

3. Algebraic Number Theory;Lang,1994

4. Lower bounds for discriminants of number fields;Odlyzko;Acta Arith.,1976

5. Sur les petits discriminants;Poitou;Sém. Delange–Pisot–Poitou,1976

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonsolvable number fields ramified only at 3 and 5;Compositio Mathematica;2011-02-15

2. A non-solvable Galois extension of ramified at 2 only;Comptes Rendus Mathematique;2009-02

3. On Serre’s conjecture for 2-dimensional mod p representations of Gal(ℚ∕ℚ);Annals of Mathematics;2009-01-01

4. The non-existence of certain mod 2 Galois representations of some small quadratic fields;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2008-05-01

5. ON FOUR-DIMENSIONAL MOD 2 GALOIS REPRESENTATIONS AND A CONJECTURE OF ASH ET AL;Bulletin of the Korean Mathematical Society;2007-02-28

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