Article ID Journal Published Year Pages File Type
4595801 Journal of Pure and Applied Algebra 2016 9 Pages PDF
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
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