Geodesic
On some torsion-free groups
Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 475-484 
S. I. Adian. On some torsion-free groups. Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 475-484. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Some noncommutative finitely generated torsion-free groups are constructed such that the intersection of any two cyclic subgroups is nontrivial.

[1] Novikov P. S., Adyan S. I., “O beskonechnykh periodicheskikh gruppakh. I, II, III”, Izv. AN SSSR. Ser. matem., 32:1 (1968), 212–244 ; 2, 251–524 ; 3, 709–731 | MR | Zbl | MR | MR

[2] Novikov P. S., Adyan S. I., “Opredelyayuschie sootnosheniya i problema tozhdestva dlya svobodnykh periodicheskikh grupp nechetnogo poryadka”, Izv. AN SSSR. Ser. matem., 32 (1968), 971–979 | Zbl

[3] Novikov P. S., Adyan S. I., “O kommutativnykh podgruppakh i probleme sopryazhennosti v svobodnykh periodicheskikh gruppakh nechetnogo poryadka”, Izv. AN SSSR. Ser. matem., 32 (1968), 1176–1190 | Zbl

[4] Kourovskaya tetrad (nereshennye zadachi teorii grupp), SO AN SSSR, Novosibirsk, 1965