On Pseudocyclic Association Schemes
Combinatorics
2015-05-07 v1
Abstract
The notion of pseudocyclic association scheme is generalized to the non-commutative case. 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 and rank at least is schurian.
Cite
@article{arxiv.0910.0682,
title = {On Pseudocyclic Association Schemes},
author = {M. E. Muzychuk and I. N. Ponomarenko},
journal= {arXiv preprint arXiv:0910.0682},
year = {2015}
}
Comments
23 pages, 7 figures