Mathematical logic, algebra and number theory

Associations scheme with nonconstant intersection numbers, associated with group $SL_2(q)$

I. T. Mukhametyanov

Lysva branch of Perm National Research Polytechnic University, 2, Lenina st., Lysva, 618900, Perm kray, Russia

Abstract: Considered one of generalizations of association schemes, with variability of intersection numbers is allowed. Generalization of scheme is considered on set of elements of prime order $p$ of group $SL_2(q)$ where $q$ is a degree of $p$. Intersection numbers of this scheme are calculated and intersection arrays of it's graphs are found.

Keywords: association scheme, intersection numbers, group, distance-regular graph.

UDC: 512.542,~519.172

MSC: 20D15,~05C25

Received April 9, 2018, published May 17, 2019

DOI: 10.33048/semi.2019.16.042

Bibliographic databases:

•