Treffer: On the parity of the class number of multiquadratic number fields
Title:
On the parity of the class number of multiquadratic number fields
Authors:
Source:
Journal of Number Theory. 129:1205-1211
Publisher Information:
Elsevier BV, 2009.
Publication Year:
2009
Subject Terms:
class number, Algebra and Number Theory, Class group, Class numbers, class groups, discriminants, Units, Multiquadratic number fields, Units and factorization, multiquadratic number fields, Other abelian and metabelian extensions, 01 natural sciences, class group, Quadratic extensions, units, 0101 mathematics
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0022-314X
DOI:
10.1016/j.jnt.2008.12.013
Access URL:
Rights:
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....2d3b5d94c0392b067c24e246a0e57fe4
Database:
OpenAIRE
Weitere Informationen
Let \(p_1, p_2, \dots, p_n\) be distinct primes and \(K = \mathbb Q(\sqrt{p_1}, \dots,\sqrt{p_n})\). In this paper, by studying the parity of the class number of multiquadratic number fields, the author deduces, in the case \(n=4\), a list of all fields \(K\) whose 2-class group is trivial.