THE NONEXISTENCE OF CERTAIN NONSOLVABLE GALOIS EXTENSIONS OF NUMBER FIELDS OF SMALL DEGREE

DOI10.1142/S1793042105000121zbMath1109.11054MaRDI QIDQ5316939

Sharon A. Brueggeman

Publication date: 15 September 2005

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

nonexistencediscriminantnonsolvable Galois extension

Mathematics Subject Classification ID

Galois theory (11R32) Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Related Items (3)

Nonsolvable number fields ramified only at 3 and 5 ⋮ The non-existence of certain mod 2 Galois representations of some small quadratic fields ⋮ The nonexistence of certain representations of the absolute Galois group of quadratic fields

Cites Work

• The nonexistence of certain Galois extensions unramified outside 5
• Finiteness results on certain mod \(p\) Galois representations

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