Coherent configurations are combinatorial objects invented for the purpose of studying finite
permutation groups; every permutation group which is not doubly transitive preserves a non …

Partial geometric designs can be constructed from basic relations of association schemes.
An infinite family of partial geometric designs were constructed from the fusion schemes of …

Let $ G $ be a transitive permutation group on $\Omega $. The $ G $-invariant partitions
form a sublattice of the lattice of all partitions of $\Omega $, having the further property that …

In 2001, the United Kingdom Engineering and Physical Sciences Research Council
awarded three of the authors of this paper a grant for “A web-based resource for design …

The notion of an association scheme is a far reaching generalization of the notion of a
group. During the past twenty years, many concepts and results in finite group theory have …

Linear Algebra and its Applications Page 1 Linear Algebra and its Applications 430 (2009)
747–755 Contents lists available at ScienceDirect Linear Algebra and its Applications journal …

In this paper we classify complex Hadamard matrices contained in the Bose–Mesner
algebra of 3-class nonsymmetric association schemes. As a consequence of …

For a positive integer kk we say that an association scheme with more than one point is k k-
equivalenced if each non-diagonal relation has valency k k. In this paper we prove that …

Abstract In Hanaki (Graphs Combin 37: 1521–1529, 2021), Hanaki defined the Terwilliger
algebras of association schemes over a commutative unital ring. In this paper, we call the …

In January 1969, Peter M. Neumann wrote a paper entitled" Primitive permutation groups of
degree 3p". The main theorem placed restrictions on the parameters of a primitive but not 2 …