A note on p-solvable and solvable finite groups

The notion of normal index is utilized in proving necessary and sufficient conditions for a group G to be respectively, p-solvable and solvable where p is the largest prime divisor of |G|. These are used further in identifying the largest normal p-solvable and normal solvable subgroups, respectively...

Full description

Bibliographic Details
Main Authors: R. Khazal, N. P. Mukherjee
Format: Article
Language:English
Published: Hindawi Limited 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294001158