Khukhro, Evgeny (2012) Fitting height of a finite group with a Frobenius group of automorphisms. Journal of Algebra, 366 . pp. 111. ISSN 00218693
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Item Type:  Article 

Item Status:  Live Archive 
Abstract
Suppose that a finite group G admits a Frobenius group of automorphisms FH with kernel F and complement H such that F acts without nontrivial fixed points (that is, such that C G(F)=1). It is proved that the Fitting height of G is equal to the Fitting height of the fixedpoint subgroup C G(H) and the Fitting series of C G(H) coincides with the intersections of C G(H) with the Fitting series of G. As a corollary, it is also proved that for any set of primes Ï� the Ï�length of G is equal to the Ï�length of C G(H). Â© 2012 Elsevier Inc.
Keywords:  Automorphism, Fitting height, Fixedpointfree, Frobenius group, Soluble 

Subjects:  G Mathematical and Computer Sciences > G100 Mathematics 
Divisions:  College of Science > School of Mathematics and Physics 
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ID Code:  15581 
Deposited On:  12 Nov 2014 15:42 
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