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- W1495356721 abstract "Let $mathcal{M}=CM(D_n,X,p)$ be a regular Cayley map on the dihedral group $D_n$ of order $2n, n ge 2,$ and let $pi$ be the power function associated with $mathcal{M}$. In this paper it is shown that the kernel Ker$(pi)$ of the power function $pi$ is a dihedral subgroup of $D_n$ and if $n ne 3,$ then the kernel Ker$(pi)$ is of order at least $4$. Moreover, all $mathcal{M}$ are classified for which Ker$(pi)$ is of order $4$. In particular, besides $4$ sporadic maps on $4,4,8$ and $12$ vertices respectively, two infinite families of non-$t$-balanced Cayley maps on $D_n$ are obtained." @default.
- W1495356721 created "2016-06-24" @default.
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- W1495356721 date "2015-04-03" @default.
- W1495356721 modified "2023-09-27" @default.
- W1495356721 title "Regular Cayley maps on dihedral groups with the smallest kernel" @default.
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