Kummer spaces in symbol algebras of prime degree

Adam Chapman; David J. Grynkiewicz; Eliyahu Matzri; Louis H. Rowen; Uzi Vishne

doi:10.1016/j.jpaa.2016.04.003

Kummer spaces in symbol algebras of prime degree

Adam Chapman
, David J. Grynkiewicz
, Eliyahu Matzri
, Louis H. Rowen
, Uzi Vishne

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

7 Scopus citations

Abstract

We classify the monomial Kummer subspaces of division symbol algebras of prime degree p, showing that every such space is standard, and in particular the dimension is no greater than p+ 1. It follows that in a generic symbol algebra, the dimension of any Kummer subspace is at most p+ 1.

Original language	English
Pages (from-to)	3363-3371
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	220
Issue number	10
DOIs	https://doi.org/10.1016/j.jpaa.2016.04.003
State	Published - 1 Oct 2016
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/j.jpaa.2016.04.003

Cite this

@article{46daec1a75554f389569c4bc4ce71842,

title = "Kummer spaces in symbol algebras of prime degree",

abstract = "We classify the monomial Kummer subspaces of division symbol algebras of prime degree p, showing that every such space is standard, and in particular the dimension is no greater than p+ 1. It follows that in a generic symbol algebra, the dimension of any Kummer subspace is at most p+ 1.",

author = "Adam Chapman and Grynkiewicz, \{David J.\} and Eliyahu Matzri and Rowen, \{Louis H.\} and Uzi Vishne",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = oct,

day = "1",

doi = "10.1016/j.jpaa.2016.04.003",

language = "English",

volume = "220",

pages = "3363--3371",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "10",

}

TY - JOUR

T1 - Kummer spaces in symbol algebras of prime degree

AU - Chapman, Adam

AU - Grynkiewicz, David J.

AU - Matzri, Eliyahu

AU - Rowen, Louis H.

AU - Vishne, Uzi

PY - 2016/10/1

Y1 - 2016/10/1

N2 - We classify the monomial Kummer subspaces of division symbol algebras of prime degree p, showing that every such space is standard, and in particular the dimension is no greater than p+ 1. It follows that in a generic symbol algebra, the dimension of any Kummer subspace is at most p+ 1.

AB - We classify the monomial Kummer subspaces of division symbol algebras of prime degree p, showing that every such space is standard, and in particular the dimension is no greater than p+ 1. It follows that in a generic symbol algebra, the dimension of any Kummer subspace is at most p+ 1.

UR - https://www.scopus.com/pages/publications/84975263246

U2 - 10.1016/j.jpaa.2016.04.003

DO - 10.1016/j.jpaa.2016.04.003

M3 - Article

AN - SCOPUS:84975263246

SN - 0022-4049

VL - 220

SP - 3363

EP - 3371

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 10

ER -

Kummer spaces in symbol algebras of prime degree

Abstract

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this