Solvable Groups
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. 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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2. Complex structures having nilpotent and solvable eigenspaces / Estruturas complexas comauto-espaços nilpotentes e soluveis
Seja (g; [·,·]) uma álgebra de Lie com uma estrutura complexa integrável J. Os ± i-auto-espaços de J são subálgebras complexas de gC isomorfas a álgebra (g; [*]J ) com colchete [X * Y ]J = ½ ([X, Y ] - [JX, JY ]). Consideramos, no capítulo 2, o caso onde estas subálgebras são nilpotentes e mostramos que a álgebra de Lie original (g, [·,·]) é
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