Nilpotent Length of a Finite Solvable Group with a Frobenius Group of Automorphisms
نویسندگان
چکیده
منابع مشابه
Rank and order of a finite group admitting a Frobenius group of automorphisms
Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with kernel F and complement H. In the case where G is a finite p-group such that G = [G,F ] it is proved that the order of G is bounded above in terms of the order of H and the order of the fixed-point subgroup CG(H) of the complement, and the rank of G is bounded above in terms of |H| and the rank of C...
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Suppose that a finite group G admits a Frobenius group of automorphisms FH of coprime order with cyclic kernel F and complement H such that the fixed point subgroup CG(H) of the complement is nilpotent of class c. It is proved that G has a nilpotent characteristic subgroup of index bounded in terms of c, |CG(F )|, and |F | whose nilpotency class is bounded in terms of c and |H| only. This gener...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2014
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2013.823776