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Original Articles

The Tits Alternative for Groups Defined by Periodic Paired Relations

Pages 251-258 | Received 07 Sep 2004, Accepted 21 Feb 2005, Published online: 03 Sep 2006

REFERENCES

  • Albar , M. ( 2000 ). On a four-generator Coxeter group . Int. J. Math. Math. Sci. 24 ( 12 ): 821 – 823 [CSA]
  • Corson , J. M. ( 1996 ). Amalgamated sums of groups . Proc. Edinburgh Math. Soc. (2) 33 ( 3 ): 561 – 570 [CSA]
  • Edjvet , M. , Howie , J. , Rosenberger , G. , Thomas , R. M. ( 2002 ). Finite generalized tetrahedron groups with a high-power relator . In: Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000) . Vol. 94 , pp. 111 – 139 .
  • Fine , B. , Levin , F. , Rosenberger , G. ( 1988 ). Free subgroups and decompositions of one-relator products of cyclics. I. The Tits alternative . Arch. Math. (Basel) 50 ( 2 ): 97 – 109 [CSA]
  • Fine , B. , Howie , J. , Rosenberger , G. ( 1989 ). Ree-Mendelsohn pairs in generalized triangle groups . Comm. Algebra 17 ( 2 ): 251 – 258 [CSA]
  • Howie , J. , Kopteva , N. (to appear) . The Tits alternative for generalized tetrahedron groups . Journal of Group Theory [CSA]
  • Meier , J. ( 1997 ). Geometric invariants for Artin groups . Proc. London Math. Soc. (3) 74 ( 1 ): 151 – 173 [CSA] [CROSSREF]
  • Noskov , G. A. , Vinberg , E. B. ( 2002 ). Strong Tits alternative for subgroups of Coxeter groups . J. Lie Theory 12 ( 1 ): 259 – 264 [CSA]
  • Pride , S. J. ( 1992 ). The (co)homology of groups given by presentations in which each defining relator involves at most two types of generators . J. Austral. Math. Soc. Ser. A 52 ( 2 ): 205 – 218 [CSA]
  • Stallings , J. R. ( 1991 ). Non-positively curved triangles of groups . Group Theory from a Geometrical Viewpoint (Trieste, 1990) . River Edge , NJ : World Sci. Publishing , pp. 491 – 503 .
  • Tsaranov , S. V. ( 1989 ). On a generalization of Coxeter groups . Algebras Groups Geom. 6 ( 3 ): 281 – 318 [CSA]
  • Vinberg , E. B. ( 1997 ). Groups defined by periodic paired relations . Sb. Mat. 188 ( 9 ): 1269 – 1278 [CSA] [CROSSREF]

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