Geodesic
On the conjugacy problem for groups with one defining relation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 3-7

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We prove the decidability of the conjugacy problem lor a one-relator group whose cyclically reduced defining word contains one of the generators precisely three times. 
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     author = {G. S. Deryabina},
     title = {On the conjugacy problem for groups with one defining relation},
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G. S. Deryabina. On the conjugacy problem for groups with one defining relation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 3-7. http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a0/