The Fitting Length of Finite Groups admitting an Automorphism of Prime Order

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Journal Title, Volume, Page: 
Tr.J. Math. 15, 121-128.
Year of Publication: 
Abu Joukha, Jaber
Current Affiliation: 
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 

 Let H be a finite solvable group admitting an automorphism B of prime order p where it is not assumed that p does not divide the order H . we assume that B acts on H in such a way that the order of any element of the semi direct product H lying outside H divides p q^m for some prime q different from p and a fixed natural m. A bound for the fitting length of H is determined.