Skip to main content

Ideal Whitehead Graphs in Out(F r )

  • Conference paper
  • First Online:
Extended Abstracts Fall 2012

Part of the book series: Trends in Mathematics ((RPCRMB,volume 1))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. M. Bestvina, M. Feighn, Outer limits (1994, preprint). Available at http://andromeda.rutgers.edu/~feighn/papers/outer.pdf

  2. M. Bestvina, M. Handel, Train tracks and automorphisms of free groups. Ann. Math. 135(1), 1–51 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Feighn, M. Handel, The recognition theorem for Out(F n ). Groups Geom. Dyn. 5(1), 39–106 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  4. D. Gaboriau, A. Jaeger, G. Levitt, M. Lustig, An index for counting fixed points of automorphisms of free groups. Duke Math. J. 93(3), 425–452 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Handel, L. Mosher, Axes in Outer Space. Memoirs of the American Mathematical Society, vol. 123, no. 1004 (American Mathematical Society, Providence, 2011)

    Google Scholar 

  6. I. Kapovich, Algorithmic detectability of iwip automorphisms (2012), arXiv:1209.3732

    Google Scholar 

  7. J. Maher, Random walks on the mapping class group. Duke Math. J. 156(3), 429–468 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  8. H. Masur, J. Smillie, Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms. Comment. Math. Helv. 68(1), 289–307 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  9. C. Pfaff, Ideal whitehead graphs in Out(F r ) II: complete graphs in every rank. Journal of Homotopy and Related Structures, (2013) pp. 1–27. Available at http://dx.doi.org/10.1007/s40062-013-0060-5

  10. C. Pfaff, Ideal whitehead graphs in Out(F r ) III: achieved graphs in rank 3, preprint, available at http://arxiv.org/pdf/1301.7080v1.pdf

  11. C. Pfaff, Ideal whitehead graphs in Out(F r ) I: some unachieved graphs, preprint available at http://arxiv.org/pdf/1210.5762v1.pdf

  12. J.R. Stallings, Topology of finite graphs. Invent. Math. 71(3), 551–565 (1983)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Catherine Pfaff .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Pfaff, C. (2014). Ideal Whitehead Graphs in Out(F r ). In: González-Meneses, J., Lustig, M., Ventura, E. (eds) Extended Abstracts Fall 2012. Trends in Mathematics(), vol 1. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-05488-9_15

Download citation

Publish with us

Policies and ethics