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arXiv · 1007.5216

Finiteness Properties of Chevalley Groups over the Laurent Polynomial Ring over a Finite Field

Stefan Witzel
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Abstract

We show that if G is a Chevalley group of rank n and F_q[t,t^{-1}] is the ring of Laurent polynomials over a finite field, then G(F_q[t,t^{-1}]) is of type F_{2n-1}. This bound is optimal because it is known -- and we show again -- that the group is not of type F_{2n}.

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Stefan Witzel. 2010-07-29. Finiteness Properties of Chevalley Groups over the Laurent Polynomial Ring over a Finite Field. https://arxiv.org/abs/1007.5216

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