Distinguishing division algebras by finite splitting fields

Daniel Krashen; Kelly McKinnie

doi:10.1007/s00229-010-0390-0

Distinguishing division algebras by finite splitting fields

Daniel Krashen, Kelly McKinnie

Mathematics

University of Georgia

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

9 Scopus citations

Abstract

This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.

Original language	English
Pages (from-to)	171-182
Number of pages	12
Journal	Manuscripta Mathematica
Volume	134
Issue number	1
DOIs	https://doi.org/10.1007/s00229-010-0390-0
State	Published - Jan 2011

Access to Document

10.1007/s00229-010-0390-0

Cite this

@article{6df1b125593a46b0a00628b9fe727f24,

title = "Distinguishing division algebras by finite splitting fields",

abstract = "This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.",

author = "Daniel Krashen and Kelly McKinnie",

year = "2011",

month = jan,

doi = "10.1007/s00229-010-0390-0",

language = "English",

volume = "134",

pages = "171--182",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Distinguishing division algebras by finite splitting fields

AU - Krashen, Daniel

AU - McKinnie, Kelly

PY - 2011/1

Y1 - 2011/1

N2 - This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.

AB - This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.

UR - http://www.scopus.com/inward/record.url?scp=78649913399&partnerID=8YFLogxK

U2 - 10.1007/s00229-010-0390-0

DO - 10.1007/s00229-010-0390-0

M3 - Article

AN - SCOPUS:78649913399

SN - 0025-2611

VL - 134

SP - 171

EP - 182

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 1

ER -

Distinguishing division algebras by finite splitting fields

Abstract

Access to Document

Other files and links

Fingerprint

Cite this