Turkish Journal of Mathematics
DOI
10.3906/mat-1402-76
Abstract
Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on p^n points whose thin radical and thin residue each have degree equal to p^{n-1}, and whose basis relations each have valency 1 or p^{n-1}. Moreover, we show that such schemes are Schurian.
Keywords
Association scheme, p-scheme, thin radical, thin residue
First Page
103
Last Page
111
Recommended Citation
BARANDAGH, FATEMEH RAEI and BARGHI, AMIR RAHNAMAI
(2015)
"On p-schemes with the same degrees of thin radical and thin residue,"
Turkish Journal of Mathematics: Vol. 39:
No.
1, Article 10.
https://doi.org/10.3906/mat-1402-76
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss1/10
