Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896359 | Journal of Algebra | 2018 | 36 Pages |
Abstract
We consider association schemes with thin radical isomorphic to an elementary abelian p-group of rank 2, such that the thin residue coincides with the thin radical and all non-thin elements have valency p. We show that when the order of the thin quotient of such schemes exceeds p2, it must be equal to p2+p+1 (a known upper bound), and we show that there exist examples whose thin quotient has order p2â1. We also show that if the thin quotient has order at least 10, then one can always find a non-Schurian example with the same thin quotient.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Christopher French,