Geodesic
Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups
Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 1-12
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We study infinite finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups. The results concern growth and the ascending chain condition for such groups. 
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A. Ivanov. Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups. Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 1-12. doi: 10.4064/cm-82-1-1-12

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