On linear shift representations

D. L. Flannery; R. Egan

doi:10.1016/j.jpaa.2014.12.007

On linear shift representations

D. L. Flannery
, R. Egan

Mathematics

University of Galway

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

3 Citations (Scopus)

Abstract

We introduce and develop the concept of (linear) shift representation. This derives from a certain action on 2-cocycle groups that preserves both cohomological equivalence and orthogonality for cocyclic designs, discovered by K.J. Horadam. Detailed information about fixed point spaces and reducibility is given. We also discuss results of computational experiments, including the calculation of shift orbit structure and searching for orthogonal cocycles.

Original language	English
Pages (from-to)	3482-3494
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	8
DOIs	https://doi.org/10.1016/j.jpaa.2014.12.007
Publication status	Published - 1 Aug 2015

Access to Document

10.1016/j.jpaa.2014.12.007

Cite this

@article{c62ca4befac24d76a71b3793ad97626e,

title = "On linear shift representations",

abstract = "We introduce and develop the concept of (linear) shift representation. This derives from a certain action on 2-cocycle groups that preserves both cohomological equivalence and orthogonality for cocyclic designs, discovered by K.J. Horadam. Detailed information about fixed point spaces and reducibility is given. We also discuss results of computational experiments, including the calculation of shift orbit structure and searching for orthogonal cocycles.",

author = "Flannery, \{D. L.\} and R. Egan",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = aug,

day = "1",

doi = "10.1016/j.jpaa.2014.12.007",

language = "English",

volume = "219",

pages = "3482--3494",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier B.V.",

number = "8",

}

TY - JOUR

T1 - On linear shift representations

AU - Flannery, D. L.

AU - Egan, R.

PY - 2015/8/1

Y1 - 2015/8/1

N2 - We introduce and develop the concept of (linear) shift representation. This derives from a certain action on 2-cocycle groups that preserves both cohomological equivalence and orthogonality for cocyclic designs, discovered by K.J. Horadam. Detailed information about fixed point spaces and reducibility is given. We also discuss results of computational experiments, including the calculation of shift orbit structure and searching for orthogonal cocycles.

AB - We introduce and develop the concept of (linear) shift representation. This derives from a certain action on 2-cocycle groups that preserves both cohomological equivalence and orthogonality for cocyclic designs, discovered by K.J. Horadam. Detailed information about fixed point spaces and reducibility is given. We also discuss results of computational experiments, including the calculation of shift orbit structure and searching for orthogonal cocycles.

UR - https://www.scopus.com/pages/publications/84925299090

U2 - 10.1016/j.jpaa.2014.12.007

DO - 10.1016/j.jpaa.2014.12.007

M3 - Article

SN - 0022-4049

VL - 219

SP - 3482

EP - 3494

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 8

ER -

On linear shift representations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this