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
U2 - 10.1016/j.jpaa.2016.04.003
DO - 10.1016/j.jpaa.2016.04.003
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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 -