Let be a maximal subgroup of finite group . For each chief factor of such that and , we called the order of the normal index of and a section of in . Using the concepts of normal index and c-section, we obtain some new characterizations of p-solvable, 2-supersolvable, and p-nilpotent.
"A Note on the Normal Index and the c-Section of Maximal Subgroups of a Finite Group." J. Appl. Math. 2014 1 - 4, 2014. https://doi.org/10.1155/2014/921804