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M-group

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In mathematics, especially in the field of group theory, the term M-group may refer to a few distinct concepts:

  • monomial group, in character theory, a group whose complex irreducible characters are all monomial
  • Iwasawa group or modular group, in the study of subgroup lattices, a group whose subgroup lattice is modular
  • virtually polycyclic group, in infinite group theory, a group with a polycyclic subgroup of finite index