Cyclic groups are CI-groups for balanced configurations

Koike Hiroki; Kovacs Istvan; Marusic Dragan; Muzychuk Mikhail

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Cyclic groups are CI-groups for balanced configurations

机译：循环组是用于平衡配置的CI-组

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In this paper we propose an isomorphism criterion for cyclic balanced configurations defined over the same group Zn. It is shown that two such configurations are isomorphic if and only if there exists a group automorphism of Zn 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.

机译：在本文中，我们提出了在相同组Zn上定义的循环平衡配置的同构标准。结果表明，如果Zn的Zn的群体自动形式映射到另一个配置，则只有，才有两个这样的配置是同性的。该结果为相同循环组的平衡循环配置提供了一种简单的同构检测。

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来源
《Designs, Codes and Crytography》 |2019年第6期|1227-1235|共9页
作者
Koike Hiroki; Kovacs Istvan; Marusic Dragan; Muzychuk Mikhail;
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作者单位

Univ Nacl Autonoma Mexico Inst Math Mexico City 04510 DF Mexico;

Univ Primorska UP IAM Muzejski Trg 2 Koper 6000 Slovenia|Univ Primorska UP FAMNIT Glagoljaska 8 Koper 6000 Slovenia;

Univ Primorska UP IAM Muzejski Trg 2 Koper 6000 Slovenia|Univ Primorska UP FAMNIT Glagoljaska 8 Koper 6000 Slovenia|Univ Ljubljana IMFM Jadranska 19 Ljubljana 1000 Slovenia;

Ben Gurion Univ Negev Dept Math IL-8410501 Beer Sheva Israel;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Cayley object; CI-property; Cyclic group; Balanced configuration;

机译：Cayley对象;CI-property;循环组;平衡配置;

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Cyclic groups are CI-groups for balanced configurations

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