On Coxeter ’ s families of group presentations

@inproceedings{Havas2010OnC,
  title={On Coxeter ’ s families of group presentations},
  author={George Havas and Derek F. Holt},
  year={2010}
}
In 1939 Coxeter published three infinite families of group presentations (which he called abstract groups). He studied their properties, in particular determining when groups defined by members of the families are infinite and the structure of finite ones. Prior to the work reported in this paper, eight presentations remained for which the finiteness question was unsettled. We show that two of these eight presentations define finite groups (for which we give comprehensive proofs and provide… CONTINUE READING

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