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Finiteness Properties of \(\mathbf{G}(\mathbb{F}_{q}[t])\)

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2109)

Abstract

It is a common situation to have a group G that acts on a polyhedral complex X with the properties that X is contractible and the stabilizers of cells are finite but X is not compact modulo the action of G. One is then interested in a G-invariant subspace X 0 of X that is compact modulo G and still has some desirable properties, in our case to be highly connected.

Keywords

  • Compact Modulo
  • Twin Apartment
  • Twin Buildings
  • Hemisphere Complex
  • Busemann Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Witzel, S. (2014). Finiteness Properties of \(\mathbf{G}(\mathbb{F}_{q}[t])\) . In: Finiteness Properties of Arithmetic Groups Acting on Twin Buildings. Lecture Notes in Mathematics, vol 2109. Springer, Cham. https://doi.org/10.1007/978-3-319-06477-2_2

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