Kummer Spaces in Cyclic Algebras of Prime Degree
Rings and Algebras
2015-05-15 v2
Abstract
We classify the monomial Kummer subspaces of division cyclic algebras of prime degree , showing that every such space is standard, and in particular the dimension is no greater than . It follows that in a generic cyclic algebra, the dimension of any Kummer subspace is at most .
Keywords
Cite
@article{arxiv.1410.6136,
title = {Kummer Spaces in Cyclic Algebras of Prime Degree},
author = {Adam Chapman and David J. Grynkiewicz and Eliyahu Matzri and Louis H. Rowen and Uzi Vishne},
journal= {arXiv preprint arXiv:1410.6136},
year = {2015}
}
Comments
12 pages