Cyclic groups are CI-groups for balanced configurations

Hiroki Koike; István Kovács; Dragan Marušič; Mikhail Muzychuk

doi:10.1007/s10623-018-0517-y

Cyclic groups are CI-groups for balanced configurations

Hiroki Koike, István Kovács, Dragan Marušič, Mikhail Muzychuk

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z _n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z _n which maps one of the configurations onto the other. This result provides an easy isomorphism test for balanced cyclic configurations over the same cyclic group.

Original language	English
Pages (from-to)	1227-1235
Number of pages	9
Journal	Designs, Codes, and Cryptography
Volume	87
Issue number	6
DOIs	https://doi.org/10.1007/s10623-018-0517-y
State	Published - 15 Jun 2019

Keywords

Balanced configuration
CI-property
Cayley object
Cyclic group

ASJC Scopus subject areas

Computer Science Applications
Applied Mathematics

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10.1007/s10623-018-0517-y

Cite this

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title = "Cyclic groups are CI-groups for balanced configurations",

abstract = " In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z n which maps one of the configurations onto the other. This result provides an easy isomorphism test for balanced cyclic configurations over the same cyclic group.",

keywords = "Balanced configuration, CI-property, Cayley object, Cyclic group",

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note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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AU - Kovács, István

AU - Marušič, Dragan

AU - Muzychuk, Mikhail

PY - 2019/6/15

Y1 - 2019/6/15

N2 - In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z n which maps one of the configurations onto the other. This result provides an easy isomorphism test for balanced cyclic configurations over the same cyclic group.

AB - In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Z n . It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Z n which maps one of the configurations onto the other. This result provides an easy isomorphism test for balanced cyclic configurations over the same cyclic group.

KW - Balanced configuration

KW - CI-property

KW - Cayley object

KW - Cyclic group

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Cyclic groups are CI-groups for balanced configurations

Abstract

Keywords

ASJC Scopus subject areas

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