An Elementary Abelian Group of Rank 4 Is a CI-Group

M. Hirasaka; M. Muzychuk

doi:10.1006/jcta.2000.3140

An Elementary Abelian Group of Rank 4 Is a CI-Group

M. Hirasaka, M. Muzychuk

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

37 Scopus citations

Abstract

In this paper we prove that Z⁴_p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z⁴_p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z⁴_p.

Original language	English
Pages (from-to)	339-362
Number of pages	24
Journal	Journal of Combinatorial Theory. Series A
Volume	94
Issue number	2
DOIs	https://doi.org/10.1006/jcta.2000.3140
State	Published - 1 May 2001
Externally published	Yes

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1006/jcta.2000.3140

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title = "An Elementary Abelian Group of Rank 4 Is a CI-Group",

abstract = "In this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.",

author = "M. Hirasaka and M. Muzychuk",

note = "Funding Information: 1The author was supported by the Japan Society for Promotion of Science and worked at the Emmy Noether Research Institute for Mathematical Science at Bar-Ilan University. The author expresses his gratitude to both institutions for their support. 2The second author was partially supported by the Israeli Ministry of Absorption.",

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AU - Muzychuk, M.

N1 - Funding Information: 1The author was supported by the Japan Society for Promotion of Science and worked at the Emmy Noether Research Institute for Mathematical Science at Bar-Ilan University. The author expresses his gratitude to both institutions for their support. 2The second author was partially supported by the Israeli Ministry of Absorption.

PY - 2001/5/1

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N2 - In this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.

AB - In this paper we prove that Z4p is a CI-group; i.e., two Cayley graphs over the elementary abelian group Z4p are isomorphic if and only if their connecting sets are conjugate by an automorphism of the group Z4p.

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An Elementary Abelian Group of Rank 4 Is a CI-Group

Abstract

ASJC Scopus subject areas

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