Torsion free commutator subgroups of generalized Coxeter groups. (Q817160)

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scientific article; zbMATH DE number 5009754
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Torsion free commutator subgroups of generalized Coxeter groups.
scientific article; zbMATH DE number 5009754

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    Torsion free commutator subgroups of generalized Coxeter groups. (English)
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    7 March 2006
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    A generalized Coxeter group \(G\) is a group generated by elements \(x_1,\dots,x_n\) subject to relations of the kind \(x_r^{k_r}=(x_i^{\alpha_{ij}}x_j^{\beta_{ij}})^{l_{ij}}=1\). The authors study conditions under which the commutator subgroup of \(G\) is torsion free.
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    generalized Coxeter groups
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    commutator subgroup
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