44
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

AUTOMATIC GROUPS, RATIONAL GROWTH, AND POLYGONAL AMALGAMS

, , &
Pages 5371-5382 | Received 01 Nov 1999, Published online: 16 Aug 2006

REFERENCES

  • Alonso , J. 1991 . “ Growth Functions of Amalgams ” . In Arboreal Group Theory , MSRI 19 Edited by: Alperin , R. 1 – 34 . Springer-Verlag .
  • Allenby , R. 1994 . The Residual Finiteness of Polygonal Products–Two Counterexamples . Canad. Math. Bull. , 37 : 433 – 436 .
  • Baumslag , G. , Gersten , S. M. , Shapiro , M. and Short , H. 1991 . Automatic Groups and Amalgams . J. Pure Appl. Algebra , 76 : 229 – 316 .
  • Epstein , D. , Cannon , J. , Holt , D. , Levy , S. , Patterson , M. and Thurston , W. 1992 . Word Processing in Groups Boston : Jones & Bartlett .
  • Epstein , D. , Iano-Fletcher , A. and Zwick , U. 1996 . Growth Functions and Automatic Groups . Experiment. Math. , 5 : 297 – 315 .
  • Floyd , W. and Parry , W. 1997 . The Growth of Nonpositively Curved Triangles of Groups . Invent. Math. , 129 : 289 – 359 .
  • Floyd , W. and Plotnick , S. 1987 . Growth Functions on Fuchsian Groups and the Euler Characteristic . Invent. Math. , 88 : 1 – 29 .
  • Hsu , T and Wise , D. 1998 . Embedding Theorems for Non-positively Curved Polygons of Finite Groups . J. Pure Appl. Algebra , 123 : 201 – 221 .
  • Lynch , K. 1995 . On Triangles and Quadrilaterals of Groups , PhD Thesis VPI&SU .
  • Meier , J. 1994 . Hopfnicity of Negatively Curved Polygonal Amalgams of Finite Groups . J. Pure Appl. Algebra , 94 : 331 – 340 .
  • Schwermer , J. and Vogtmann , K. 1983 . The Integral Homology of SL 2 and PSL 2 of Euclidean Imaginary Quadratic Integers . Comment. Math. Helvetici , 58 : 573 – 598 .
  • Serre , J.-P. 1980 . Trees Springer-Verlag .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.