Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an invol...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Witzel, Stefan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2109
Temas:
Group theory.
Geometry.
Manifolds (Mathematics).
Algebraic topology.
Group Theory and Generalizations.
Manifolds and Cell Complexes.
Algebraic Topology.
Acceso en línea:Texto Completo
Descripción
Sumario:Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.
Descripción Física:XVI, 113 p. 11 illus. online resource.
ISBN:9783319064772
ISSN:1617-9692 ;

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