Kummer spaces in symbol algebras of prime degree

Authors

Adam Chapman, Michigan State University
David J. Grynkiewicz, University of Memphis
Eliyahu Matzri, Bar-Ilan University
Louis H. Rowen, Bar-Ilan University
Uzi Vishne, Bar-Ilan University

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.

Publication Title

Journal of Pure and Applied Algebra

Recommended Citation

Chapman, A., Grynkiewicz, D., Matzri, E., Rowen, L., & Vishne, U. (2016). Kummer spaces in symbol algebras of prime degree. Journal of Pure and Applied Algebra, 220 (10), 3363-3371. https://doi.org/10.1016/j.jpaa.2016.04.003