Geodesic
On the conjugacy problem for groups with one defining relation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1983), pp. 3-7 
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/
@article{VMUMM_1983_2_a0,
     author = {G. S. Deryabina},
     title = {On the conjugacy problem for groups with one defining relation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--7},
     year = {1983},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a0/}
}
TY  - JOUR
AU  - G. S. Deryabina
TI  - On the conjugacy problem for groups with one defining relation
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 1983
SP  - 3
EP  - 7
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a0/
LA  - ru
ID  - VMUMM_1983_2_a0
ER  - 
%0 Journal Article
%A G. S. Deryabina
%T On the conjugacy problem for groups with one defining relation
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 3-7
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_2_a0/
%G ru
%F VMUMM_1983_2_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

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.