Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595801 | Journal of Pure and Applied Algebra | 2016 | 9 Pages |
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+1p+1. It follows that in a generic symbol algebra, the dimension of any Kummer subspace is at most p+1p+1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Adam Chapman, David J. Grynkiewicz, Eliyahu Matzri, Louis H. Rowen, Uzi Vishne,