Kreher, D.L. and Paterson, Maura B. and Stinson, D.R. (2025) Near-factorizations of dihedral groups. Designs, Codes and Cryptography , ISSN 0925-1022.
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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 Pêcher, and we investigate when nonequivalent near-factorizations can be obtained by this method.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Maura Paterson |
| Date Deposited: | 18 Aug 2025 12:14 |
| Last Modified: | 04 Sep 2025 20:44 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/56068 |
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