descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2005 English Publisher:Springer Science and Business Media LLCJournal:Results in Mathematics, volume 48, pages 50-64 (issn: 0378-6218, eissn: 1420-9012,

Authors: Hidalgo, Rubén A.; Rosenberger, Gerhard;

doi: 10.1007/bf03322896

Torsion Free Commutator Subgroups of Generalized Coxeter Groups

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Abstract

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.

Related Organizations

TU Dortmund University
Germany
Valparaiso University
United States

Keywords

Generators, relations, and presentations of groups, Reflection and Coxeter groups (group-theoretic aspects), commutator subgroup, generalized Coxeter groups

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