D. Kreher

collaborators

3 papers

math.GR2025

$I^»$ -fold near-factorizations of groups

Donald L. Kreher, Shuxing Li, Douglas R. Stinson

We initiate the study of $I^»$ -fold near-factorizations of groups with $I^» > 1$ . While $I^»$ -fold near-factorizations of groups with $I^» = 1$ have been studied in numerous papers, this…

math.GR2025

Near-factorizations of dihedral groups

Donald L. Kreher, Maura B. Paterson, Douglas R. Stinson

We investigate near-factorizations of nonabelian groups, concentrating on dihedral groups. We show that some known constructions of near-factorizations in dihedral groups yield equ…

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…

I^»-fold near-factorizations of groups

Near-factorizations of dihedral groups

Uniqueness and explicit computation of mates in near-factorizations

$I^»$ -fold near-factorizations of groups