Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583626 | Journal of Algebra | 2017 | 26 Pages |
Abstract
For a maximal separable subfield K of a central simple algebra A, we provide a semiring isomorphism between K-K-sub-bimodules of A and H-H-sub-bisets of G=Gal(L/F), where F=Cent(A), L is the Galois closure of K/F, and H=Gal(L/K). This leads to a combinatorial interpretation of the growth of dimKâ¡((KaK)i), for fixed aâA, especially in terms of Kummer subspaces.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eliyahu Matzri, Louis H. Rowen, David Saltman, Uzi Vishne,