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Intermediate notions between [[finitely generated group]] and [[finitely generated nilpotent group]] | Intermediate notions between [[finitely generated group]] and [[finitely generated nilpotent group]]# |
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Finitely generated group for which all homomorphisms to any finite group can be listed in finite time | Finitely generated group for which all homomorphisms to any finite group can be listed in finite time |

Finitely generated solvable group | Finitely generated solvable group |

Finitely presented solvable group | Finitely presented solvable group |

Group in which every subgroup is finitely presented | Group in which every subgroup is finitely presented |

Group with a finite complete rewriting system | Group with a finite complete rewriting system |

Group with polynomial-time solvable word problem | Group with polynomial-time solvable word problem |

Group with solvable word problem | Group with solvable word problem |

Noetherian group | Noetherian group |

Polycyclic group | Polycyclic group |