Automorphisms of generalized Sylvester Hadamard matrices

R. Egan; D. L. Flannery

doi:10.1016/j.disc.2016.09.014

Automorphisms of generalized Sylvester Hadamard matrices

R. Egan
, D. L. Flannery

Mathematics

University of Rijeka

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

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.

Original language	English
Pages (from-to)	516-523
Number of pages	8
Journal	Discrete Mathematics
Volume	340
Issue number	3
DOIs	https://doi.org/10.1016/j.disc.2016.09.014
Publication status	Published - 1 Mar 2017

Keywords

Automorphism group
Cocyclic development
Generalized Hadamard matrix

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10.1016/j.disc.2016.09.014

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title = "Automorphisms of generalized Sylvester Hadamard matrices",

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.",

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year = "2017",

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T1 - Automorphisms of generalized Sylvester Hadamard matrices

AU - Egan, R.

AU - Flannery, D. L.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - 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.

AB - 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.

KW - Automorphism group

KW - Cocyclic development

KW - Generalized Hadamard matrix

UR - https://www.scopus.com/pages/publications/84995780136

U2 - 10.1016/j.disc.2016.09.014

DO - 10.1016/j.disc.2016.09.014

M3 - Article

SN - 0012-365X

VL - 340

SP - 516

EP - 523

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 3

ER -

Automorphisms of generalized Sylvester Hadamard matrices

Abstract

Keywords

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