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. He studied their properties, in particular determining when groups defined by members of the families are infinite and the structure of finite ones. 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 detailed structural information) and that two of the presentations define… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
1 Extracted Citations
12 Extracted References
Similar Papers

Citing Papers

Publications influenced by this paper.

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 12 references

The abstract groups Gm,n,p

  • H.S.M. Coxeter
  • Trans. Amer. Math. Soc
  • 1939
Highly Influential
4 Excerpts

Juhàsz, The groups Gm,n,p

  • A. M. Edjvet
  • J. Algebra
  • 2008
2 Excerpts

Computing with abelian sections of finitely presented groups

  • Derek F. Holt, Sarah Rees
  • J. Algebra
  • 1999
3 Excerpts

Holt and Sarah Rees , Computing with abelian sections of finitely presented groups

  • F. Derek
  • J . Algebra
  • 1999

A Course in the Theory of Groups, Second Edition, Graduate Texts Math

  • Derek J.S. Robinson
  • 1996

Groups defined by presentations where the relators are proper powers

  • R. M. Thomas
  • Groups ’93 Galway/St Andrews, vol. 2, London Math…
  • 1995
1 Excerpt

Computation with finitely presented groups

  • C. C. Sims
  • Cambridge University Press
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…