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A-group, Abelian group, Amenable discrete group, BFC-group, CA-group, CN-group, Cyclic group, Cyclic group of prime power order, Dedekind group, FC-group, Finite abelian group, Finite cyclic group, Finite group, Finite group with periodic cohomology, Finite nilpotent group, Finite supersolvable group, Finitely generated abelian group, Free abelian group, Free group, Group embeddable in a finitary symmetric group, Group in which every finite subgroup is cyclic, Group satisfying a nontrivial identity, Group satisfying normalizer condition, Group with finite derived subgroup, Hereditarily ACIC-group, Hyperabelian group, Locally cyclic group, Locally finite group, Locally nilpotent group, Metabelian group, Nilpotent group, Noetherian group, Periodic group, Polycyclic group, Regular p-group, Residually finite group, Solvable group, Supersolvable group, T*-group, Torsion-free group, Z-group
