W. Martin

activity

20022026

most citedCommutative association schemes

70 citations · 144 across the 16 of their papers we have counts for

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math.GR2024

Uniqueness and explicit computation of mates in near-factorizations

Donald L. Kreher, William J. Martin, Douglas R. Stinson

We show that a "mate'' $B$ of a set $A$ in a near-factorization $(A, B)$ of a finite group $G$ is unique. Further, we describe how to compute the mate $B$ very efficiently using an…

math.GR2002

A new notion of transitivity for groups and sets of permutations

William J. Martin, Bruce E. Sagan

Let $Ω = {1, 2, ..., n}$ where $n \geq 2$ . The {\em shape} of an ordered set partition $P = (P_{1}, ..., P_{k})$ of $Ω$ is the integer partition $λ = (λ_{1}, ..., λ_{k})$ defined by $λ_{i} = ∣ P_{i} ∣$ . Le…