Khukhro, Evgeny (2011) Nilpotent length of a finite group admitting a frobenius group of automorphisms with fixedpointfree kernel. Algebra and Logic, 49 (6). pp. 551560. ISSN 00025232
Full content URL: http://link.springer.com/article/10.1007%2Fs10469...
Documents 

PDF
__ddat02_staffhome_jpartridge_art%3A10.1007%2Fs104690119117x.pdf  Whole Document Restricted to Repository staff only 338kB 
Item Type:  Article 

Item Status:  Live Archive 
Abstract
Suppose that a finite group G admits a Frobenius group FH of automorphisms with kernel F and complement H such that the fixedpoint subgroup of F is trivial, i.e., CG(F) = 1, and the orders of G and H are coprime. It is proved that the nilpotent length of G is equal to the nilpotent length of CG(H) and the Fitting series of the fixedpoint subgroup CG(H) coincides with a series obtained by taking intersections of CG(H) with the Fitting series of G. © 2011 Springer Science+Business Media, Inc.
Keywords:  Automorphism, Finite group, Fitting series, Frobenius group, Nilpotent length, Soluble group 

Subjects:  G Mathematical and Computer Sciences > G100 Mathematics 
Divisions:  College of Science > School of Mathematics and Physics 
Related URLs:  
ID Code:  15587 
Deposited On:  12 Nov 2014 16:11 
Repository Staff Only: item control page