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

Mathematical Sciences

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

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10.1007/s00009-023-02457-4

Cite this

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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",

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AU - McKinnie, Kelly

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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 - https://www.scopus.com/pages/publications/85163338102

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DO - 10.1007/s00009-023-02457-4

M3 - Article

AN - SCOPUS:85163338102

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VL - 20

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 5

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ER -

Biquaternion Algebras, Chain Lemma and Symbol Length

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Keywords

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