Abstract
The notion of a pseudocyclic association scheme is generalized to the non-commutativecase. It is proved that any pseudocyclic scheme the rank of which is much more than the valency is the scheme of a Frobenius group and is uniquely determined up to isomorphism by its intersection number array. An immediate corollary of this result is that any scheme of prime degree, valency k and rank at least k4 is schurian.
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | Ars Mathematica Contemporanea |
| Volume | 5 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2012 |
| Externally published | Yes |
Keywords
- Association schemes
- Frobenius groups
- Pseudocyclic schemes
ASJC Scopus subject areas
- Theoretical Computer Science
- Algebra and Number Theory
- Geometry and Topology
- Discrete Mathematics and Combinatorics