Lie algebras admitting a metacyclic Frobenius group of automorphismsReportar como inadecuado



 Lie algebras admitting a metacyclic Frobenius group of automorphisms


Lie algebras admitting a metacyclic Frobenius group of automorphisms - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Descargar gratis o leer online en formato PDF el libro: Lie algebras admitting a metacyclic Frobenius group of automorphisms
Suppose that a Lie algebra $L$ admits a finite Frobenius group of automorphisms $FH$ with cyclic kernel $F$ and complement $H$ such that the characteristic of the ground field does not divide $|H|$. It is proved that if the subalgebra $C LF$ of fixed points of the kernel has finite dimension $m$ and the subalgebra $C LH$ of fixed points of the complement is nilpotent of class $c$, then $L$ has a nilpotent subalgebra of finite codimension bounded in terms of $m$, $c$, $|H|$, and $|F|$ whose nilpotency class is bounded in terms of only $|H|$ and $c$. Examples show that the condition of the kernel $F$ being cyclic is essential.



Autor: N. Yu. Makarenko; E. I. Khukhro

Fuente: https://archive.org/







Documentos relacionados