标题： 有限群中非超可解极大子群的指标 显示英文标题

标题： Indices of non-supersolvable maximal subgroups in finite groups

摘要： 两个经典结果，分别由K. Doerk和P. Hall提出，证明了那些所有极大子群都是超可解的有限群的可解性，以及所有极大子群的指数为素数或平方素数的有限群的可解性。 在本文中，我们描述了那些极大子群要么是超可解的，要么具有素数或平方素数指数的非可解有限群的结构。 显示英文摘要

摘要： Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvability of finite groups in which all maximal subgroups have prime or squared prime index. In this note we describe the structure of the non-solvable finite groups whose maximal subgroups are either supersolvable or have prime or squared prime index.