Article ID Journal Published Year Pages File Type
4597598 Journal of Pure and Applied Algebra 2010 6 Pages PDF
Abstract

We extended the normal index from maximal subgroups to proper subgroups. We give a quantitative version of all results obtained by using c-normal subgroups and obtain some new characterizations of solvable, supersolvable and nilpotent groups by the normal indices of proper subgroups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory