A Note on Finite Groups in which C-Normality is a Transitive Relation

Copyright c © 2013 Doaa Mustafa AlSharo et al. This is an open access article dis-tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. A subgroup H of G is c−normal in G if there exists a normal sub-group N of G such that HN = G and H∩N ≤ HG. A group G is called 1882 Doaa Mustafa AlSharo et al. CT−group if c−normality is transitive relation in G. In this paper, a number of new characterization of finite solvable CT−groups are given