Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771909 | Journal of Algebra | 2017 | 17 Pages |
Abstract
The thin residue is an important concept in the theory of association schemes. Association schemes whose thin residues are thin have been studied in several papers. In this paper we construct a new class of association schemes whose thin residues are thin, and give a characterization of their automorphism groups. In particular, we give a formula for the order of the automorphism group, and a necessary and sufficient condition under which the association scheme is Schurian. Schur rings are used as a tool in our approach.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bangteng Xu,