A composition formula in the rank two free group |
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| Authors: | Francisco Gonzá lez-Acuñ a Arturo Ramí rez |
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| Institution: | Instituto de Matemáticas, UNAM, México D.F. 04510, Mexico; Cimat, Guanjuato AP 402 Guanajuato 36000, México ; Cimat, Guanjuato AP 402 Guanajuato 36000, México |
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| Abstract: | Using the fundamental group of a punctured torus, a free group  of rank two, and the fact that the natural eipmorphism from  onto  has as kernel the group of inner automorphisms of  , we describe representatives of the conjugacy classes of generating pairs of  and give explicit relations between them. |
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| Keywords: | Rank two free group primitive words |
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