Class Number Parity of a Compositum of Five Quadratic Fields

BULANT, Michal. Class Number Parity of a Compositum of Five Quadratic Fields. Acta Math. et Informatica Univ. Ostraviensis. Ostrava (CZ), 2002, vol. 2002, No 10, p. 25-34. ISSN 1211-4774.

Basic information

Original name

Class Number Parity of a Compositum of Five Quadratic Fields

Authors

BULANT, Michal (203 Czech Republic, guarantor)

Edition

Acta Math. et Informatica Univ. Ostraviensis, Ostrava (CZ), 2002, 1211-4774

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/02:00006776

Organization unit

Faculty of Science

Keywords in English

class number; cyclotomic unit; crossed homomorphism

Tags

class number, crossed homomorphism, cyclotomic unit

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Abstract

V originále

In this paper we show that the class number of the field $Q(\sqrt p,\sqrt q,\sqrt r,\sqrt s,\sqrt t)$ is even for $p,q,r,s,t$ being different primes either equal to 2 or congruent to 1 modulo 4. This result is based on our previous results about the parity of the class number in the case of the field $Q{\sqrt p,\sqrt q,\sqrt r}$.

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Links

GA201/01/0471, research and development project

Name: Algebraické, analytické a kombinatorické metody teorie čísel Investor: Czech Science Foundation, Algebraic, analytic and combinatorial methods of number theory