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arXiv · 2411.15884

Near-factorizations of dihedral groups

Donald L. Kreher·Maura B. Paterson·Douglas R. Stinson
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Abstract

We investigate near-factorizations of nonabelian groups, concentrating on dihedral groups. We show that some known constructions of near-factorizations in dihedral groups yield equivalent near-factorizations. In fact, there are very few known examples of nonequivalent near-factorizations in dihedral or other nonabelian groups; we provide some new examples with the aid of the computer. We also analyse a construction for near-factorizations in dihedral groups from near-factorizations in cyclic groups, due to P\^{e}cher, and we investigate when nonequivalent near-factorizations can be obtained by this method.

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Donald L. Kreher, Maura B. Paterson, Douglas R. Stinson. 2024-11-24. Near-factorizations of dihedral groups. https://arxiv.org/abs/2411.15884

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