A composition formula in the rank two free group
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- by Francisco González-Acuña and Arturo Ramírez PDF
- Proc. Amer. Math. Soc. 127 (1999), 2779-2782 Request permission
Abstract:
Using the fundamental group of a punctured torus, a free group $F$ of rank two, and the fact that the natural eipmorphism from $Aut F$ onto $Aut(F/F’)$ has as kernel the group of inner automorphisms of $F$, we describe representatives of the conjugacy classes of generating pairs of $F$ and give explicit relations between them.References
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Additional Information
- Francisco González-Acuña
- Affiliation: Instituto de Matemáticas, UNAM, México D.F. 04510, Mexico; Cimat, Guanjuato AP 402 Guanajuato 36000, México
- Email: fico@matem.unam.mx
- Arturo Ramírez
- Affiliation: Cimat, Guanjuato AP 402 Guanajuato 36000, México
- Email: ramirez@fractal.cimat.mx
- Received by editor(s): September 15, 1997
- Published electronically: May 4, 1999
- Communicated by: Ronald A. Fintushel
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2779-2782
- MSC (1991): Primary 57M07, 20E05
- DOI: https://doi.org/10.1090/S0002-9939-99-05344-7
- MathSciNet review: 1664378