中文摘要：

利用弱拟正规子群及S-弱拟正规子群,得到了有限群的可解性的一些新刻画.主要获得了下列结论：（i）若群G有两个不共轭的可解极大子群均在G中弱拟正规,则G可解;（ii）群G可解当且仅当G存在可解的极大子群在G中弱拟正规,且G与交错群A5、PSL2（7）及PSL3（3）无关.

英文摘要：

The authors come to some new criteria of solvability of finite groups under the assumptions that the groups have some kinds of weakly quasinormal or S-weakly quasinormal subgroups. Some results are the following： （i） Let G be a finite group having two maximal subgroups that are solvable and not .conjugate in G. If the maximal subgroups are weakly quasinormal in G ,then G is solvable. （ii） Let G he a finite group. G is a solvable group if and only if G has a solvable maximal subgroup being weakly quasinormal in G and no section isomorphic to group As, PSL2（7） and PSL3（3）.