A question of B. Plotkin about the semigroup of endomorphisms of a free group
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- by Edward Formanek PDF
- Proc. Amer. Math. Soc. 130 (2002), 935-937 Request permission
Abstract:
Let $F$ be a free group of finite rank $n \geq 2$, let $End(F)$ be the semigroup of endomorphisms of $F$, and let $Aut(F)$ be the group of automorphisms of $F$. Theorem. If $T : End(F) \to End(F)$ is an automorphism of $End(F)$, then there is an $\alpha \in Aut(F)$ such that $T(\beta ) = \alpha \circ \beta \circ \alpha ^{-1}$ for all $\beta \in End(F)$.References
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Additional Information
- Edward Formanek
- Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
- Email: formanek@math.psu.edu
- Received by editor(s): October 2, 2000
- Published electronically: September 14, 2001
- Additional Notes: The author was partially supported by the NSF
- Communicated by: Stephen D. Smith
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 935-937
- MSC (2000): Primary 20E05
- DOI: https://doi.org/10.1090/S0002-9939-01-06155-X
- MathSciNet review: 1873764