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20-XX Group theory and generalizations
20Fxx Special aspects of infinite or finite groups
20F69 Asymptotic properties of groups

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Finitely generated groups having a finite set of conjugacy classes meeting all cyclic subgroups

A. Ivanov (1999)

Colloquium Mathematicae

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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