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
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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
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