You are here: MIMS > EPrints
MIMS EPrints

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.

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
1078 Kb

Abstract

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)
Additional Information:

Invited 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
MIMS number:2012.99
Deposited By:Professor Evgeny Khukhro
Deposited On:18 October 2012

Download Statistics: last 4 weeks
Repository Staff Only: edit this item