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Artinian group, BFC-group, Co-Hopfian group, Conjugacy-separable group, Finitely generated group, Finitely generated residually finite group, Finitely presented group, Group in which every proper subgroup is contained in a maximal subgroup, Group of finite chief length, Group of finite composition length, Group of finite homological type, Hopfian group, Locally finite group, Locally graded group, Noetherian group, Periodic group, Profinite group, Residually finite group
