2012.99: Finite groups and Lie rings admitting a Frobenius group of automorphisms with fixed-point-free kernel
2012.99: E. I. Khukhro (2012) Finite groups and Lie rings admitting a Frobenius group of automorphisms with fixed-point-free kernel. In: Group Theory and Lie Theory, 19-21 March 2012, Allahabad, India.
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Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that $C_G(F)=1$. There are good reasons to expect many properties and parameters of $G$ to be close to the same properties and parameters of $C_G(H)$ (possibly, also depending on $|H|$). We discuss several recent results in this direction. The properties and parameters in question include the order, rank, Fitting height, nilpotency class, and the exponent.
|Item Type:||Conference or Workshop Item (Lecture)|
|Uncontrolled Keywords:||Frobenius group, nilpotent, Fitting height, exponent, Lie ring, automorphism|
|Subjects:||MSC 2000 > 17 Nonassociative rings and algebras|
MSC 2000 > 20 Group theory and generalizations
|Deposited By:||Professor Evgeny Khukhro|
|Deposited On:||18 October 2012|