Mathematics – Combinatorics
Scientific paper
2009-10-05
Mathematics
Combinatorics
23 pages, 7 figures
Scientific paper
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 $k$ and rank at least $k^4$ is schurian.
Muzychuk Mikhail E.
Ponomarenko I. N.
No associations
LandOfFree
On Pseudocyclic Association Schemes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Pseudocyclic Association Schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Pseudocyclic Association Schemes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-9379