COMMUNICATIONS IN ALGEBRA, vol.42, no.11, pp.4751-4756, 2014 (SCI-Expanded)
Article / Article
COMMUNICATIONS IN ALGEBRA
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Middle East Technical University Affiliated:
We prove that a finite solvable group G admitting a Frobenius group FH of automorphisms of coprime order with kernel F and complement H such that [G, F] = G and C-CG(F) (h) = 1 for all nonidentity elements h is an element of H, is of nilpotent length equal to the nilpotent length of the subgroup of fixed points of H.