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Fixed subsets of homomorphisms of free groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1440)

Abstract

We derive a bound for the rank of the fixed point set Fp(α) of a monomorphism α and the fixed point group Fix(α) of homomorphisms α of subgroups G of a free group F into F. We do not require the ranks of G and F to be finite; these conditions are replaced by a finiteness condition for α.

Keywords

  • Free Group
  • Initial Segment
  • Cayley Graph
  • Unoriented Edge
  • Infinite Path

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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© 1990 Springer-Verlag

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Imrich, W., Turner, E.C. (1990). Fixed subsets of homomorphisms of free groups. In: Latiolais, P. (eds) Topology and Combinatorial Group Theory. Lecture Notes in Mathematics, vol 1440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084458

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  • DOI: https://doi.org/10.1007/BFb0084458

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52990-3

  • Online ISBN: 978-3-540-46296-5

  • eBook Packages: Springer Book Archive