On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$

BULANT, Michal. On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$. Acta Math. et Informatica Univ. Ostraviensis. Ostrava (CZ), 1998, vol. 1998, No 6, p. 41-52. ISSN 1211-4774.

Basic information

• Original name: On the Parity of the Class Number of the Field $Q(\sqrt p,\sqrt q,\sqrt r)$
• Authors: BULANT, Michal (203 Czech Republic, guarantor).
• Edition: Acta Math. et Informatica Univ. Ostraviensis, Ostrava (CZ), 1998, 1211-4774.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• RIV identification code: RIV/00216224:14310/98:00028876
• Organization unit: Faculty of Science
• Keywords in English: class number; cyclotomic unit; crossed homomorphism
• Tags: class number, crossed homomorphism, cyclotomic unit
• Tags: International impact, Reviewed

Abstract

This paper considers the parity of the class number of any field extension of the rationals by square roots of three disctinct primes p,q,r, where p=2, and q,r are congruent to 1 mod 4.

Links

• GA201/97/0433, research and development project: Name: Algebraické a analytické metody v teorii čísel

Investor: Czech Science Foundation, Algebraic and analytic methods in number theory