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A finiteness property an an automatic structure for Coxeter groups

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References

  1. Bourbaki, N.: Groupes et Algèbres de Lie, Chap. 4, 5, 6. Hermann, Paris, 1968

    Google Scholar 

  2. Cannon, J.W., Epstein, D.B., Holt, D.F., Paterson, M.S., Thurston, W.P.: Word Processing and Group Theory. University of Minnesota Supercomputer Institute (1991) (preprint)

  3. Davis, M.W., Shapiro, M.D.: Coxeter groups are automatic. Ohio State University (1991) (preprint)

  4. Dyer, M.J.: Hecke algebras and reflections in Coxeter groups. PhD thesis, University of Sydney, 1987

  5. Gersten, S.M., Short, H.B.: Small cancellation theory and automatic groups. Invent. Math.102 (1990) 305–334

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  6. Hiller, H.: Geometry of Coxeter Groups. Pitman Advanced Publishing Program, 1981

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Authors and Affiliations

  1. School of Mathematics and Statistics, University of Sydney, 2006, NSW, Australia

    Brigitte Brink & Robert B. Howlett

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  1. Brigitte Brink
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  2. Robert B. Howlett
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Brink, B., Howlett, R.B. A finiteness property an an automatic structure for Coxeter groups. Math. Ann. 296, 179–190 (1993). https://doi.org/10.1007/BF01445101

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