单块群的斜积群
Skew product groups for monolithic groups
摘要：
斜态射，推广群的自同构，提供了一个基本的工具，研究定期凯莱映射，更一般地说，有限群与互补因子分解$G=BY$，其中$Y$是循环和核心自由的$G$。在本文中，我们分类所有的例子，其中$B$是单片（这意味着它有一个唯一的最小正规子群，该子群不是阿贝尔）和核心免费的$G$。作为结果，我们得到了有限非交换单群的所有真斜态射的分类。
英文摘要：
Skew morphisms, which generalise automorphisms for groups, provide a fundamental tool for the study of regular Cayley maps and, more generally, for finite groups with a complementary factorisation $G=BY$, where $Y$ is cyclic and core-free in $G$. In this paper, we classify all examples in which $B$ is monolithic (meaning that it has a unique minimal normal subgroup, and that subgroup is not abelian) and core-free in $G$. As a consequence, we obtain a classification of all proper skew morphisms of finite non-abelian simple groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
