M group
Encyclopedia
In mathematics, especially in the field of group theory, the term M-group may refer to a few distinct concepts:
- monomial groupMonomial groupIn mathematics, in the area of algebra studying the character theory of finite groups, an M-group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1 ....
, in character theory, a group whose complex irreducible characters are all monomial - Iwasawa groupIwasawa groupIn mathematics a group is sometimes called an Iwasawa group or M-group or modular group if its lattice of subgroups is modular.Finite modular groups are also called Iwasawa groups, after where they were classified. Both finite and infinite M-groups are presented in textbook form in . Modern...
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