Fixed subsets of homomorphisms of free groups

  • W. Imrich
  • E. C. Turner
Part of the Lecture Notes in Mathematics book series (LNM, volume 1440)


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.


Free Group Initial Segment Cayley Graph Unoriented Edge Infinite Path 
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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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