Abstract
Let G be a connected, non-commutative, absolutely almost simple \(\mathbb{F}_{q}\)-group. In this chapter we want to determine the finiteness length of \(\mathbf{G}(\mathbb{F}_{q}[t,t^{-1}])\). We have already seen that there is a locally finite irreducible Euclidean twin building on which the group acts strongly transitively so in geometric language we have to show
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References
Bux, K.U., Wortman, K.: Connectivity properties of horospheres in Euclidean buildings and applications to finiteness properties of discrete groups. Invent. Math. 185, 395–419 (2011)
Ziegler, G.M.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, Heidelberg (1995)
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Witzel, S. (2014). Finiteness Properties of \(\mathbf{G}(\mathbb{F}_{q}[t,t^{-1}])\) . 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_3
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DOI: https://doi.org/10.1007/978-3-319-06477-2_3
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