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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.9
- 수록면
- 1,175 - 1,195 (21page)
- DOI
- 10.4134/BKMS.b230156
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초록· 키워드
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A Cayley map $\M = CM(G,X,p)$ is $t$-balanced if $p(x)^{-1} = p^t(x^{-1})$ for all $x \in X$. 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 $\mathbb{Z}_2$-extensions of a cyclic $2$-group.
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