Finiteness Properties of Arithmetic Groups Acting on Twin Buildings [electronic resource] / by Stefan Witzel.

By:

Witzel, Stefan [author.]

Contributor(s):

SpringerLink (Online service)

Series: Lecture Notes in Mathematics ; 2109Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XVI, 113 p. 11 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319064772

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

512.2 23

LOC classification:

QA174-183

Online resources:

Click here to access online

Contents:

Basic Definitions and Properties -- Finiteness Properties of G(Fq[t]) -- Finiteness Properties of G(Fq[t; t-1]) -- Affine Kac-Moody Groups -- Adding Places.

In: Springer eBooksSummary: 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.

Item type:

eBooks

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Basic Definitions and Properties -- Finiteness Properties of G(Fq[t]) -- Finiteness Properties of G(Fq[t; t-1]) -- Affine Kac-Moody Groups -- Adding Places.

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.