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Fixed subsets of homomorphisms of free groups

  • W. Imrich
  • E. C. Turner
Chapter
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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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • W. Imrich
    • 1
  • E. C. Turner
    • 2
  1. 1.Institut für Mathematik und Angewandte GeometrieLeobenAustria
  2. 2.Department of Mathematics and StatisticsState University of New York at AlbanyAlbanyUSA

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