On the nilpotent length of a finite group with a frobenius group of automorphisms

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2013
Öğüt, Elif
Let G be a finite group admitting a Frobenius group FH of automorphisms with kernel F and complement H. Assume that the order of G and FH are relatively prime and H acts regularly on the fixed point subgroup of F in G. It is proved in this thesis that the nilpotent length of G is less than or equal to the sum of the nilpotent length of the commutator group of G and F with 1 and the nilpotent length of the commutator group of G and F is equal to the nilpotent length of the fixed point subgroup of H in the commutator group of G and F.

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Citation Formats
E. Öğüt, “On the nilpotent length of a finite group with a frobenius group of automorphisms,” Ph.D. - Doctoral Program, Middle East Technical University, 2013.