Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4652519 | Electronic Notes in Discrete Mathematics | 2008 | 4 Pages |
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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Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics