A CLASSIFICATION OF REGULAR t-BALANCED CAYLEY MAPS ON Z2-EXTENSIONS OF A CYCLIC 2-GROUP
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초록
A Cayley map M = CM(G,X, p) is t-balanced if p(x)−1 = pt(x−1) for all x ∈ X. Conder et al. classified the regular anti-balanced Cayley maps on abelian groups and Kwak et al. classified the regular t-balanced Cayley maps on dihedral groups and dicyclic groups. Classifications of regular t-balanced Cayley maps on semi-dihedral groups and cyclic groups were done by Oh and the first author, respectively. In this paper, we classify the regular t-balanced Cayley maps on Z2-extensions of a cyclic 2-group.
Abstract
A Cayley map M = CM(G,X, p) is t-balanced if p(x)−1 = pt(x−1) for all x ∈ X. Conder et al. classified the regular anti-balanced Cayley maps on abelian groups and Kwak et al. classified the regular t-balanced Cayley maps on dihedral groups and dicyclic groups. Classifications of regular t-balanced Cayley maps on semi-dihedral groups and cyclic groups were done by Oh and the first author, respectively. In this paper, we classify the regular t-balanced Cayley maps on Z2-extensions of a cyclic 2-group.
참고문헌 (14)
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