Imprimitivity of locally finite, 1-ended, planar graphs

Authors

  • Jozef Širáň Open University, United Kingdom and Slovak University of Technology, Slovakia
  • Mark E. Watkins Syracuse University, United States

DOI:

https://doi.org/10.26493/1855-3974.213.fcd

Keywords:

planar, automorphism group, primitive group, planar discontinuous group, residually finite, 1-ended

Abstract

Using results from group theory, we offer a concise proof of the imprimitivity of locally finite, vertex-transitive, 1-ended planar graphs, a result previously established by J. E. Graver and M. E. Watkins (2004) using graph-theoretical methods.

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Published

2012-01-19

Issue

Vol. 5 No. 2 (2012)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/