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

N1 - Publisher Copyright:
© 2016 Elsevier B.V.

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 - http://www.scopus.com/inward/record.url?scp=84975263246&partnerID=8YFLogxK

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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 -