Examples of some \({\mathbb{Q}}\)-admissible groups

DOI10.1016/0022-314X(87)90079-5zbMath0619.12007MaRDI QIDQ1089386

Paul Vojta, Walter Feit

Publication date: 1987

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

zbMATH Keywords

elliptic curvesheightsLaguerre polynomials\({bbfQ}\)-admissible groupk-adequate

Mathematics Subject Classification ID

Galois theory (11R32) Rational points (14G05) Elliptic curves (14H52) Representations of groups as automorphism groups of algebraic systems (20F29) Polynomials (irreducibility, etc.) (11R09) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields, Admissibility and field relations, \(\mathbb Q\)-admissibility questions for alternating groups, Patching subfields of division algebras, The admissibility of \(M_{11}\) over number fields, Open problems on central simple algebras., Embedding Problems of Division Algebras

Cites Work

• The Witt invariant of the form \(\text{Tr}(x^ 2)\)
• \(\tilde A_5\) and \(\tilde A_7\) are Galois groups over number fields
• The admissibility of \(A_5\)
• Subfields of division rings. I
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