On the Derived Series of Coxeter Groups |
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| Authors: | Martin Edjvet Kwang-woo Jeong |
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| Institution: | 1. School of Mathematical Sciences , University of Nottingham , University Park, Nottingham, UK martin.edjvet@nottingham.ac.uk;3. Pusan National University , Pusan, South Korea |
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| Abstract: | Let G be a group and let φ(G) be the least integer k such that G(k) = G(k+1). If no such k exists, then φ(G) = ∞ and we write G ∈ 𝒰. We are interested in the questions which Coxeter groups are in 𝒰 and how large can finite φ(G) be for Coxeter groups. The second author answered these questions for 3-generator and 4-generator Coxeter groups. This article begins the study for the 5-generator case. |
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| Keywords: | Coxeter groups Derived series |
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