Quaternionic compositum genus

DOI10.1016/0022-314X(79)90009-XzbMath0409.12002MaRDI QIDQ1258775

Harvey Cohn

Publication date: 1979

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

zbMATH Keywords

Quadratic FieldsArtin CharactersQuaternionic FieldSet of Primes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other number fields (11R21) General binary quadratic forms (11E16)

Related Items (4)

Algebraic number fields ⋮ Constructing quaternionic fields ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Embedding obstructions for the generalized quaternion group

Cites Work

• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• Rational compositum genus for a pure cubic field
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• A remark concerning Hilbert's Theorem 94.
• Note on primes of type x2 + 32y2, class number, and residuacity.
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