COMMUNICATIONS IN ALGEBRA, vol.34, no.10, pp.3643-3657, 2006 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Gazi University Affiliated:
Call a group G hypersolvable if it has an ascending series with G/C-G (A) solvable for each factor A of the series. In this article we establish some basic facts about hypersolvable groups. We also prove that if G is a perfect Fitting p-group such that every proper subgroup is contained in a proper normal subgroup, then G has a proper non-hypersolvable subgroup.