Biquaternion Algebras, Chain Lemma and Symbol Length

Adam Chapman; Kelly McKinnie

doi:10.1007/s00009-023-02457-4

Biquaternion Algebras, Chain Lemma and Symbol Length

Adam Chapman, Kelly McKinnie

Mathematics

Academic College of Tel-Aviv - Yaffo

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

Abstract

In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in 2nBr(F) whose symbol length in 2n+1Br(F) is at most 4.

Original language	English
Article number	255
Journal	Mediterranean Journal of Mathematics
Volume	20
Issue number	5
DOIs	https://doi.org/10.1007/s00009-023-02457-4
State	Published - Oct 2023

Keywords

Division algebras
biquaternion algebras
chain lemma
cyclic algebras
fields of characteristic 2
quaternion algebras

Access to Document

10.1007/s00009-023-02457-4

Cite this

@article{8ebcf70ee0a540aeb95bebe654e1dade,

title = "Biquaternion Algebras, Chain Lemma and Symbol Length",

abstract = "In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in 2nBr(F) whose symbol length in 2n+1Br(F) is at most 4.",

keywords = "Division algebras, biquaternion algebras, chain lemma, cyclic algebras, fields of characteristic 2, quaternion algebras",

author = "Adam Chapman and Kelly McKinnie",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = oct,

doi = "10.1007/s00009-023-02457-4",

language = "English",

volume = "20",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "5",

}

TY - JOUR

T1 - Biquaternion Algebras, Chain Lemma and Symbol Length

AU - Chapman, Adam

AU - McKinnie, Kelly

PY - 2023/10

Y1 - 2023/10

N2 - In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in 2nBr(F) whose symbol length in 2n+1Br(F) is at most 4.

AB - In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and conclude a bound on the symbol length of classes in 2nBr(F) whose symbol length in 2n+1Br(F) is at most 4.

KW - Division algebras

KW - biquaternion algebras

KW - chain lemma

KW - cyclic algebras

KW - fields of characteristic 2

KW - quaternion algebras

UR - http://www.scopus.com/inward/record.url?scp=85163338102&partnerID=8YFLogxK

U2 - 10.1007/s00009-023-02457-4

DO - 10.1007/s00009-023-02457-4

M3 - Article

AN - SCOPUS:85163338102

SN - 1660-5446

VL - 20

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

M1 - 255

ER -

Biquaternion Algebras, Chain Lemma and Symbol Length

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this