Login (DCU Staff Only)
Login (DCU Staff Only)

DORAS | DCU Research Repository

Explore open access research and scholarly works from DCU

Advanced Search

Automorphisms of generalized Sylvester matrices

Egan, Ronan orcid logoORCID: 0000-0001-6010-116X and Flannery, Dane orcid logoORCID: 0000-0002-9767-7768 (2017) Automorphisms of generalized Sylvester matrices. Discrete Mathematics, 340 (3). pp. 516-523. ISSN 1872-681X

Abstract
We examine the cocyclic development of the generalized Sylvester (also called Drake) Hadamard matrix. In particular, we give detailed results about the permutation automorphism group and full automorphism group. Following on from this, we derive existence conditions for the indexing and extension groups of each matrix viewed as a cocyclic pairwise combinatorial design.
Metadata
Item Type:Article (Published)
Refereed:Yes
Subjects:Mathematics
Mathematics > Algebra
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Publisher:Elsevier
Official URL:https://www.sciencedirect.com/science/article/pii/...
Copyright Information:Authors
ID Code:31216
Deposited On:15 Jul 2025 10:14 by Ronan Egan . Last Modified 15 Jul 2025 10:14
Documents

Full text available as:

[thumbnail of Automorphisms of generalized Sylvester Hadamard matrices V2.pdf]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Creative Commons: Attribution-Noncommercial-No Derivative Works 4.0
286kB
Metrics

Altmetric Badge

Dimensions Badge

Downloads

Downloads

Downloads per month over past year

Archive Staff Only: edit this record