On balanced Cayley maps over abelian groups

Mikhail Muzychuk

doi:10.1016/j.endm.2008.06.023

On balanced Cayley maps over abelian groups

Mikhail Muzychuk

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

2 Scopus citations

Abstract

A notion of a balanced automorphism of a group was introduced in [J. Sirǎn and M. Skoviera. Regular maps from Cayley graphs. I. Balanced Cayley maps. Algebraic graph theory (Leibnitz, 1989). Discrete Math. 109 (1992), no. 1-3, 265-276] in order to study regular Cayley maps over finite groups. One of the open questions formulated in the paper was this: which finite abelian groups admit a balanced automorphism? The presented paper answers this question.

Original language	English
Pages (from-to)	115-118
Number of pages	4
Journal	Electronic Notes in Discrete Mathematics
Volume	31
Issue number	C
DOIs	https://doi.org/10.1016/j.endm.2008.06.023
State	Published - 20 Aug 2008
Externally published	Yes

Keywords

Regular Cayley maps
abelian groups
balanced automorphism

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1016/j.endm.2008.06.023

Cite this

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abstract = "A notion of a balanced automorphism of a group was introduced in [J. Sirǎn and M. Skoviera. Regular maps from Cayley graphs. I. Balanced Cayley maps. Algebraic graph theory (Leibnitz, 1989). Discrete Math. 109 (1992), no. 1-3, 265-276] in order to study regular Cayley maps over finite groups. One of the open questions formulated in the paper was this: which finite abelian groups admit a balanced automorphism? The presented paper answers this question.",

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AB - A notion of a balanced automorphism of a group was introduced in [J. Sirǎn and M. Skoviera. Regular maps from Cayley graphs. I. Balanced Cayley maps. Algebraic graph theory (Leibnitz, 1989). Discrete Math. 109 (1992), no. 1-3, 265-276] in order to study regular Cayley maps over finite groups. One of the open questions formulated in the paper was this: which finite abelian groups admit a balanced automorphism? The presented paper answers this question.

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KW - balanced automorphism

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On balanced Cayley maps over abelian groups

Abstract

Keywords

ASJC Scopus subject areas

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