Fields for which the projective Schur subgroup is the whole Brauer group

Eli Aljadeff; Jack Sonn

doi:10.1007/BF02785867

Fields for which the projective Schur subgroup is the whole Brauer group

Eli Aljadeff^*, Jack Sonn

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Let Br(K) denote the Brauer group of a field K and PS(K) the projective Schur subgroup. 1. Let K be a finitely generated infinite field. Then PS(K) = Br(K) if and only if K is a global field. 2. Let K be a finitely generated infinite field, and let K((t)) denote the field of formal power series t over K. Then PS(K((t))) = Br(K((t))) if and only if K = ℚ.

Original language	English
Pages (from-to)	375-379
Number of pages	5
Journal	Israel Journal of Mathematics
Volume	131
DOIs	https://doi.org/10.1007/BF02785867
State	Published - 2002
Externally published	Yes

Access to Document

10.1007/BF02785867

Cite this

@article{46278ecc9afc4b4cba5474efeb80ccd9,

title = "Fields for which the projective Schur subgroup is the whole Brauer group",

abstract = "Let Br(K) denote the Brauer group of a field K and PS(K) the projective Schur subgroup. 1. Let K be a finitely generated infinite field. Then PS(K) = Br(K) if and only if K is a global field. 2. Let K be a finitely generated infinite field, and let K((t)) denote the field of formal power series t over K. Then PS(K((t))) = Br(K((t))) if and only if K = ℚ.",

author = "Eli Aljadeff and Jack Sonn",

year = "2002",

doi = "10.1007/BF02785867",

language = "英语",

volume = "131",

pages = "375--379",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Fields for which the projective Schur subgroup is the whole Brauer group

AU - Aljadeff, Eli

AU - Sonn, Jack

PY - 2002

Y1 - 2002

N2 - Let Br(K) denote the Brauer group of a field K and PS(K) the projective Schur subgroup. 1. Let K be a finitely generated infinite field. Then PS(K) = Br(K) if and only if K is a global field. 2. Let K be a finitely generated infinite field, and let K((t)) denote the field of formal power series t over K. Then PS(K((t))) = Br(K((t))) if and only if K = ℚ.

AB - Let Br(K) denote the Brauer group of a field K and PS(K) the projective Schur subgroup. 1. Let K be a finitely generated infinite field. Then PS(K) = Br(K) if and only if K is a global field. 2. Let K be a finitely generated infinite field, and let K((t)) denote the field of formal power series t over K. Then PS(K((t))) = Br(K((t))) if and only if K = ℚ.

UR - http://www.scopus.com/inward/record.url?scp=0036457732&partnerID=8YFLogxK

U2 - 10.1007/BF02785867

DO - 10.1007/BF02785867

M3 - 文章

AN - SCOPUS:0036457732

SN - 0021-2172

VL - 131

SP - 375

EP - 379

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Fields for which the projective Schur subgroup is the whole Brauer group

Abstract

Access to Document

Other files and links

Fingerprint

Cite this