Solvable By Finite
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. O teorema da alternativa de Tits / The Tits alternative
This masters project aims to give an elementary proof of the following theorem of Tits, known as the Alternative Tits Theorem: Let G be a finitely generated linear group over a field. Then either G is solvable by finite or G contains a noncyclic free subgroup. This theorem was proved by J. Tits in 1972 [4], was considered by the mathematician J.P. Serre, as
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 20/06/2012
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2. Máquina de adição n-ádica e grupos solúveis
We prove in this thesis that finitely generated soluble group of automorphisms Aut(Tn) of the regular n-ary tree Tn, which contain the n-ary adding machine have restricted structure. We prove that every nilpotent subgroup of Aut(Tn) containing then n-ary adding machine is a torsion-free abelian group. We study in detail elements of abelian groups normalized
Publicado em: 2007
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3. Post-classification version of Jordan's theorem on finite linear groups
Using classification of finite simple groups, I show that a finite subgroup G of GLn(C), where C = the complex numbers, contains a commutative normal subgroup M of index at most (n + 1)!nalogn+b. Moreover, if G is primitive and does not contain normal subgroups that are direct products of large alternating groups, then the factor (n + 1)! can be dropped. I f