Table of Contents
ISRN Algebra
Volume 2011, Article ID 102029, 6 pages
http://dx.doi.org/10.5402/2011/102029
Research Article

Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups

Lyman Briggs College, Michigan State University, W-32 Holmes Hall, East Lansing, MI 48825-1107, USA

Received 15 May 2011; Accepted 30 June 2011

Academic Editors: A. Facchini, D. Hernandez, and H. You

Copyright © 2011 Robert W. Bell. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Charney, “An introduction to right-angled Artin groups,” Geometriae Dedicata, vol. 125, pp. 141–158, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. H. Servatius, C. Droms, and B. Servatius, “Surface subgroups of graph groups,” Proceedings of the American Mathematical Society, vol. 106, no. 3, pp. 573–578, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. S.-H. Kim, “Co-contractions of graphs and right-angled Artin groups,” Algebraic & Geometric Topology, vol. 8, no. 2, pp. 849–868, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. J. Crisp, M. Sageev, and M. Sapir, “Surface subgroups of right-angled Artin groups,” International Journal of Algebra and Computation, vol. 18, no. 3, pp. 443–491, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  5. J. Crisp and B. Wiest, “Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups,” Algebraic & Geometric Topology, vol. 4, pp. 439–472, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. J. Levy, C. Parker, and L. Van Wyk, “Finite presentations of subgroups of graph groups,” Missouri Journal of Mathematical Sciences, vol. 10, no. 2, pp. 70–82, 1998. View at Google Scholar · View at Zentralblatt MATH
  7. J. Becker, M. Horak, and L. Van Wyk, “Presentations of subgroups of Artin groups,” Missouri Journal of Mathematical Sciences, vol. 10, no. 1, pp. 3–14, 1998. View at Google Scholar · View at Zentralblatt MATH
  8. G. Baumslag, Topics in Combinatorial Group Theory, Lectures in Mathematics ETH Zürich, Birkhäuser, Basel, Switzerland, 1993. View at Zentralblatt MATH