Deskins的指数复合与有限群的超可解性

The Deskins Index Complex and the Supersolvability of Finite Groups

利用有限群极大子群的指数复合,得到群的可解与超可解性的一些新的充分必要条件。

By using the theories of the Deskins index complex of the maximal subgroup of finitegroups,it is obtained some new sufficient and necessary conditions on the solvability and supersolv- ability of a finite group.