The influence of arrangement of subgroups on the group structure

Investigation of groups satisfying certain related to arrangement of subgroups conditions allows algebraists to introduce and describe many important classes of groups. Most of these conditions are based on the fundamental notion of normality and built with the help of this concept di erent subgroup chains (series). Some of important results obtained on this way we will discuss in the current survey

对满足若干与子群排布相关条件的群展开研究，可使代数学家得以引入并刻画诸多重要的群类。此类条件大多以正规性这一基础概念为依托，并借助该概念构建出各类子群链（列）。本综述将探讨在此研究路径下所获得的部分重要成果。