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

Department of Mathematics

Bar-Ilan University

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

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	American 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2016.04.003

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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.",

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AU - Grynkiewicz, David J.

AU - Matzri, Eliyahu

AU - Rowen, Louis H.

AU - Vishne, Uzi

PY - 2016/10/1

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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.

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DO - 10.1016/j.jpaa.2016.04.003

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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

All Science Journal Classification (ASJC) codes

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