AI 中文总结
研究如何构造自同构群同构于给定有限群G的三次图及多面体映射，基于L. Babai方法，通过修改凯莱图来构建，使三次图及其多面体映射的自同构群均同构于G。
AI 中文摘要
L. Babai引入了一种通过修改G的相应凯莱图来构造自同构群同构于给定有限群G的三次图的方法。在此基础上，我们构造了一个三次图，它允许一个多面体映射，其自同构群以及多面体映射本身的自同构群都同构于G。
英文摘要
L. Babai introduced a method for constructing a cubic graph whose automorphism group is isomorphic to a given finite group $G$, obtained by modifying a corresponding Cayley graph of $G$. Building on this approach, we construct a cubic graph that admits a polyhedral map whose automorphism group, as well as the automorphism group of the polyhedral map itself, is isomorphic to $G$.
