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

Ben-Gurion University of the Negev

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

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	American 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

All Science Journal Classification (ASJC) codes

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.",

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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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DO - 10.1007/s10623-018-0517-y

M3 - Article

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ER -

Cyclic groups are CI-groups for balanced configurations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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